Class XI Chapter 2 – Relations and Functions Maths ______________________________________________________________________________ Question 6: If AB a, x , a, y , b, x , b, y Solution 6: If is given that . Find A and B. AB a, x , a, y , b, x , b, y We know that the Cartesian product of two non-empty sets P and Q is defined as P Q p, q : p P, q Q A is the set of all first elements and B is the set of all second elements. Thus, A a, b and B x, y Question 7: Let 1,2 , 1,2,3,4 , 5,6 A B C (i) AB C A B A C (ii) A C is a subset of B D Solution 7: (i) To verify: We have and A B C A B AC B C 1,2,3,4 5,6 L. H. S. A B C A AB AC D 5,6,7,8 1,1 , 1,2 , 1,3 , 1,4 , 2,1 , 2, 2 , 2,3 , 2, 4 1,5 , 1,6 , 2,5 , 2,6 R. H. S. A B AC L. H. S. R. H. S. Hence, A B C A B AC (ii) To verify: A C is a subset of B D AC 1,5 , 1,6 , 2,5 , 2,6 . Verify that AD { 1,5 , 1,6 , 1,7 , 1,8 , 2,5 , 2,6 , 2,7 , 2,8 , 3,5 , 3,6 , 3,7 , 3,8 , 4,5 , 4,6 , 4,7 , 4,8 } We can observe that all the elements of set A C are the elements of set B D . Therefore, is a subset of B D . AC ___________________________________________________________________ Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 2 – Relations and Functions Maths ______________________________________________________________________________ Question 8: Let A 1, 2 and 3, 4 Solution 8: A 1, 2 A B and B B . Write A B . How many subsets will A B 3,4 1,3 , 1, 4 , 2,3 , 2, 4 B 4 n A We know that if C is a set with Therefore, the set A B has n C m, then n P C 2 m 4 2 16 subsets. These are , 1,3 , 1,4 , 2,3 , 2,4 , 1,3 1,4 , 1,3 , 2,3 , 1,3 , 2,4 , 1,4 , 2,3 , 1,4 2,4 , 2,3 2,4 1,3 , 1,4 , 2,3 , 1,3 , 1,4 , 2,4 , 1,3 , 2,3 , 2,4 1,4 , 2,3 , 2,4 , 1,3 , 1,4 , 2,3 , 2,4 . have? Them. Question 9: Let A and B be two sets such that find A and B, where Solution 9: It is given that xy , n A 3 and and z n A 3 and are distinct elements. nB 2; nB 2 . If x,1 , y, 2 , z,1 and x,1 , y, 2 , z,1 are in A B . We know that A = Set of first elements of the ordered pair elements of A B B = Set of second elements of the ordered pair elements of A B . and are the elements of A; and 1 and 2 are the elements of B. xy , , Since z n A 3 It is clear that and A nB 2, x, y, z and B 1, 2 . are in A B , Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

- Page 1 and 2: Class XI Chapter 1 - Sets Maths ___
- Page 3 and 4: Class XI Chapter 1 - Sets Maths ___
- Page 5 and 6: Class XI Chapter 1 - Sets Maths ___
- Page 7 and 8: Class XI Chapter 1 - Sets Maths ___
- Page 9 and 10: Class XI Chapter 1 - Sets Maths ___
- Page 11 and 12: Class XI Chapter 1 - Sets Maths ___
- Page 13 and 14: Class XI Chapter 1 - Sets Maths ___
- Page 15 and 16: Class XI Chapter 1 - Sets Maths ___
- Page 17 and 18: Class XI Chapter 1 - Sets Maths ___
- Page 19 and 20: Class XI Chapter 1 - Sets Maths ___
- Page 21 and 22: Class XI Chapter 1 - Sets Maths ___
- Page 23 and 24: Class XI Chapter 1 - Sets Maths ___
- Page 25 and 26: Class XI Chapter 1 - Sets Maths ___
- Page 27 and 28: Class XI Chapter 1 - Sets Maths ___
- Page 29 and 30: Class XI Chapter 1 - Sets Maths ___
- Page 31 and 32: Class XI Chapter 1 - Sets Maths ___
- Page 33 and 34: Class XI Chapter 1 - Sets Maths ___
- Page 35 and 36: Class XI Chapter 1 - Sets Maths ___
- Page 37 and 38: Class XI Chapter 1 - Sets Maths ___
- Page 39 and 40: Class XI Chapter 1 - Sets Maths ___
- Page 41 and 42: Class XI Chapter 1 - Sets Maths ___
- Page 43: Class XI Chapter 2 - Relations and
- Page 47 and 48: Class XI Chapter 2 - Relations and
- Page 49 and 50: Class XI Chapter 2 - Relations and
- Page 51 and 52: Class XI Chapter 2 - Relations and
- Page 53 and 54: Class XI Chapter 2 - Relations and
- Page 55 and 56: Class XI Chapter 2 - Relations and
- Page 57 and 58: Class XI Chapter 2 - Relations and
- Page 59 and 60: Class XI Chapter 2 - Relations and
- Page 61 and 62: Class XI Chapter 3 - Trigonometric
- Page 63 and 64: Class XI Chapter 3 - Trigonometric
- Page 65 and 66: Class XI Chapter 3 - Trigonometric
- Page 67 and 68: Class XI Chapter 3 - Trigonometric
- Page 69 and 70: Class XI Chapter 3 - Trigonometric
- Page 71 and 72: Class XI Chapter 3 - Trigonometric
- Page 73 and 74: Class XI Chapter 3 - Trigonometric
- Page 75 and 76: Class XI Chapter 3 - Trigonometric
- Page 77 and 78: Class XI Chapter 3 - Trigonometric
- Page 79 and 80: Class XI Chapter 3 - Trigonometric
- Page 81 and 82: Class XI Chapter 3 - Trigonometric
- Page 83 and 84: Class XI Chapter 3 - Trigonometric
- Page 85 and 86: Class XI Chapter 3 - Trigonometric
- Page 87 and 88: Class XI Chapter 3 - Trigonometric
- Page 89 and 90: Class XI Chapter 3 - Trigonometric
- Page 91 and 92: Class XI Chapter 3 - Trigonometric
- Page 93 and 94: Class XI Chapter 3 - Trigonometric
- Page 95 and 96:
Class XI Chapter 3 - Trigonometric

- Page 97 and 98:
Class XI Chapter 3 - Trigonometric

- Page 99 and 100:
Class XI Chapter 4 - Principle of M

- Page 101 and 102:
Class XI Chapter 4 - Principle of M

- Page 103 and 104:
Class XI Chapter 4 - Principle of M

- Page 105 and 106:
Class XI Chapter 4 - Principle of M

- Page 107 and 108:
Class XI Chapter 4 - Principle of M

- Page 109 and 110:
Class XI Chapter 4 - Principle of M

- Page 111 and 112:
Class XI Chapter 4 - Principle of M

- Page 113 and 114:
Class XI Chapter 4 - Principle of M

- Page 115 and 116:
Class XI Chapter 4 - Principle of M

- Page 117 and 118:
Class XI Chapter 4 - Principle of M

- Page 119 and 120:
Class XI Chapter 4 - Principle of M

- Page 121 and 122:
Class XI Chapter 4 - Principle of M

- Page 123 and 124:
Class XI Chapter 4 - Principle of M

- Page 125 and 126:
Class XI Chapter 5 - Complex Number

- Page 127 and 128:
Class XI Chapter 5 - Complex Number

- Page 129 and 130:
Class XI Chapter 5 - Complex Number

- Page 131 and 132:
Class XI Chapter 5 - Complex Number

- Page 133 and 134:
Class XI Chapter 5 - Complex Number

- Page 135 and 136:
Class XI Chapter 5 - Complex Number

- Page 137 and 138:
Class XI Chapter 5 - Complex Number

- Page 139 and 140:
Class XI Chapter 5 - Complex Number

- Page 141 and 142:
Class XI Chapter 5 - Complex Number

- Page 143 and 144:
Class XI Chapter 5 - Complex Number

- Page 145 and 146:
Class XI Chapter 5 - Complex Number

- Page 147 and 148:
Class XI Chapter 5 - Complex Number

- Page 149 and 150:
Class XI Chapter 5 - Complex Number

- Page 151 and 152:
Class XI Chapter 5 - Complex Number

- Page 153 and 154:
Class XI Chapter 5 - Complex Number

- Page 155 and 156:
Class XI Chapter 6 - Linear Inequal

- Page 157 and 158:
Class XI Chapter 6 - Linear Inequal

- Page 159 and 160:
Class XI Chapter 6 - Linear Inequal

- Page 161 and 162:
Class XI Chapter 6 - Linear Inequal

- Page 163 and 164:
Class XI Chapter 6 - Linear Inequal

- Page 165 and 166:
Class XI Chapter 6 - Linear Inequal

- Page 167 and 168:
Class XI Chapter 6 - Linear Inequal

- Page 169 and 170:
Class XI Chapter 6 - Linear Inequal

- Page 171 and 172:
Class XI Chapter 6 - Linear Inequal

- Page 173 and 174:
Class XI Chapter 6 - Linear Inequal

- Page 175 and 176:
Class XI Chapter 6 - Linear Inequal

- Page 177 and 178:
Class XI Chapter 6 - Linear Inequal

- Page 179 and 180:
Class XI Chapter 6 - Linear Inequal

- Page 181 and 182:
Class XI Chapter 6 - Linear Inequal

- Page 183 and 184:
Class XI Chapter 6 - Linear Inequal

- Page 185 and 186:
Class XI Chapter 6 - Linear Inequal

- Page 187 and 188:
Class XI Chapter 6 - Linear Inequal

- Page 189 and 190:
Class XI Chapter 6 - Linear Inequal

- Page 191 and 192:
Class XI Chapter 6 - Linear Inequal

- Page 193 and 194:
Class XI Chapter 6 - Linear Inequal

- Page 195 and 196:
Class XI Chapter 6 - Linear Inequal

- Page 197 and 198:
Class XI Chapter 7 - Permutation an

- Page 199 and 200:
Class XI Chapter 7 - Permutation an

- Page 201 and 202:
Class XI Chapter 7 - Permutation an

- Page 203 and 204:
Class XI Chapter 7 - Permutation an

- Page 205 and 206:
Class XI Chapter 7 - Permutation an

- Page 207 and 208:
Class XI Chapter 7 - Permutation an

- Page 209 and 210:
Class XI Chapter 7 - Permutation an

- Page 211 and 212:
Class XI Chapter 7 - Permutation an

- Page 213 and 214:
Class XI Chapter 7 - Permutation an

- Page 215 and 216:
Class XI Chapter 7 - Permutation an

- Page 217 and 218:
Class XI Chapter 7 - Permutation an

- Page 219 and 220:
Class XI Chapter 8 - Binomial Theor

- Page 221 and 222:
Class XI Chapter 8 - Binomial Theor

- Page 223 and 224:
Class XI Chapter 8 - Binomial Theor

- Page 225 and 226:
Class XI Chapter 8 - Binomial Theor

- Page 227 and 228:
Class XI Chapter 8 - Binomial Theor

- Page 229 and 230:
Class XI Chapter 8 - Binomial Theor

- Page 231 and 232:
Class XI Chapter 8 - Binomial Theor

- Page 233 and 234:
Class XI Chapter 8 - Binomial Theor

- Page 235 and 236:
Class XI Chapter 8 - Binomial Theor

- Page 237 and 238:
Class XI Chapter 8 - Binomial Theor

- Page 239 and 240:
Class XI Chapter 8 - Binomial Theor

- Page 241 and 242:
Class XI Chapter 9 - Sequences and

- Page 243 and 244:
Class XI Chapter 9 - Sequences and

- Page 245 and 246:
Class XI Chapter 9 - Sequences and

- Page 247 and 248:
Class XI Chapter 9 - Sequences and

- Page 249 and 250:
Class XI Chapter 9 - Sequences and

- Page 251 and 252:
Class XI Chapter 9 - Sequences and

- Page 253 and 254:
Class XI Chapter 9 - Sequences and

- Page 255 and 256:
Class XI Chapter 9 - Sequences and

- Page 257 and 258:
Class XI Chapter 9 - Sequences and

- Page 259 and 260:
Class XI Chapter 9 - Sequences and

- Page 261 and 262:
Class XI Chapter 9 - Sequences and

- Page 263 and 264:
Class XI Chapter 9 - Sequences and

- Page 265 and 266:
Class XI Chapter 9 - Sequences and

- Page 267 and 268:
Class XI Chapter 9 - Sequences and

- Page 269 and 270:
Class XI Chapter 9 - Sequences and

- Page 271 and 272:
Class XI Chapter 9 - Sequences and

- Page 273 and 274:
Class XI Chapter 9 - Sequences and

- Page 275 and 276:
Class XI Chapter 9 - Sequences and

- Page 277 and 278:
Class XI Chapter 9 - Sequences and

- Page 279 and 280:
Class XI Chapter 9 - Sequences and

- Page 281 and 282:
Class XI Chapter 9 - Sequences and

- Page 283 and 284:
Class XI Chapter 9 - Sequences and

- Page 285 and 286:
Class XI Chapter 9 - Sequences and

- Page 287 and 288:
Class XI Chapter 9 - Sequences and

- Page 289 and 290:
Class XI Chapter 9 - Sequences and

- Page 291 and 292:
Class XI Chapter 9 - Sequences and

- Page 293 and 294:
Class XI Chapter 9 - Sequences and

- Page 295 and 296:
Class XI Chapter 9 - Sequences and

- Page 297 and 298:
Class XI Chapter 9 - Sequences and

- Page 299 and 300:
Class XI Chapter 9 - Sequences and

- Page 301 and 302:
Class XI Chapter 9 - Sequences and

- Page 303 and 304:
Class XI Chapter 9 - Sequences and

- Page 305 and 306:
Class XI Chapter 9 - Sequences and

- Page 307 and 308:
Class XI Chapter 9 - Sequences and

- Page 309 and 310:
Class XI Chapter 9 - Sequences and

- Page 311 and 312:
Class XI Chapter 9 - Sequences and

- Page 313 and 314:
Class XI Chapter 10 - Straight Line

- Page 315 and 316:
Class XI Chapter 10 - Straight Line

- Page 317 and 318:
Class XI Chapter 10 - Straight Line

- Page 319 and 320:
Class XI Chapter 10 - Straight Line

- Page 321 and 322:
Class XI Chapter 10 - Straight Line

- Page 323 and 324:
Class XI Chapter 10 - Straight Line

- Page 325 and 326:
Class XI Chapter 10 - Straight Line

- Page 327 and 328:
Class XI Chapter 10 - Straight Line

- Page 329 and 330:
Class XI Chapter 10 - Straight Line

- Page 331 and 332:
Class XI Chapter 10 - Straight Line

- Page 333 and 334:
Class XI Chapter 10 - Straight Line

- Page 335 and 336:
Class XI Chapter 10 - Straight Line

- Page 337 and 338:
Class XI Chapter 10 - Straight Line

- Page 339 and 340:
Class XI Chapter 10 - Straight Line

- Page 341 and 342:
Class XI Chapter 10 - Straight Line

- Page 343 and 344:
Class XI Chapter 10 - Straight Line

- Page 345 and 346:
Class XI Chapter 10 - Straight Line

- Page 347 and 348:
Class XI Chapter 10 - Straight Line

- Page 349 and 350:
Class XI Chapter 10 - Straight Line

- Page 351 and 352:
Class XI Chapter 10 - Straight Line

- Page 353 and 354:
Class XI Chapter 10 - Straight Line

- Page 355 and 356:
Class XI Chapter 10 - Straight Line

- Page 357 and 358:
Class XI Chapter 10 - Straight Line

- Page 359 and 360:
Class XI Chapter 10 - Straight Line

- Page 361 and 362:
Class XI Chapter 10 - Straight Line

- Page 363 and 364:
Class XI Chapter 10 - Straight Line

- Page 365 and 366:
Class XI Chapter 10 - Straight Line

- Page 367 and 368:
Class XI Chapter 10 - Straight Line

- Page 369 and 370:
Class XI Chapter 10 - Straight Line

- Page 371 and 372:
Class XI Chapter 10 - Straight Line

- Page 373 and 374:
Class XI Chapter 11 - Conic Section

- Page 375 and 376:
Class XI Chapter 11 - Conic Section

- Page 377 and 378:
Class XI Chapter 11 - Conic Section

- Page 379 and 380:
Class XI Chapter 11 - Conic Section

- Page 381 and 382:
Class XI Chapter 11 - Conic Section

- Page 383 and 384:
Class XI Chapter 11 - Conic Section

- Page 385 and 386:
Class XI Chapter 11 - Conic Section

- Page 387 and 388:
Class XI Chapter 11 - Conic Section

- Page 389 and 390:
Class XI Chapter 11 - Conic Section

- Page 391 and 392:
Class XI Chapter 11 - Conic Section

- Page 393 and 394:
Class XI Chapter 11 - Conic Section

- Page 395 and 396:
Class XI Chapter 11 - Conic Section

- Page 397 and 398:
Class XI Chapter 11 - Conic Section

- Page 399 and 400:
Class XI Chapter 11 - Conic Section

- Page 401 and 402:
Class XI Chapter 11 - Conic Section

- Page 403 and 404:
Class XI Chapter 11 - Conic Section

- Page 405 and 406:
Class XI Chapter 11 - Conic Section

- Page 407 and 408:
Class XI Chapter 11 - Conic Section

- Page 409 and 410:
Class XI Chapter 11 - Conic Section

- Page 411 and 412:
Class XI Chapter 11 - Conic Section

- Page 413 and 414:
Class XI Chapter 11 - Conic Section

- Page 415 and 416:
Class XI Chapter 11 - Conic Section

- Page 417 and 418:
Class XI Chapter 12 - Introduction

- Page 419 and 420:
Class XI Chapter 12 - Introduction

- Page 421 and 422:
Class XI Chapter 12 - Introduction

- Page 423 and 424:
Class XI Chapter 12 - Introduction

- Page 425 and 426:
Class XI Chapter 12 - Introduction

- Page 427 and 428:
Class XI Chapter 12 - Introduction

- Page 429 and 430:
Class XI Chapter 12 - Introduction

- Page 431 and 432:
Class XI Chapter 13 - Limits and De

- Page 433 and 434:
Class XI Chapter 13 - Limits and De

- Page 435 and 436:
Class XI Chapter 13 - Limits and De

- Page 437 and 438:
Class XI Chapter 13 - Limits and De

- Page 439 and 440:
Class XI Chapter 13 - Limits and De

- Page 441 and 442:
Class XI Chapter 13 - Limits and De

- Page 443 and 444:
Class XI Chapter 13 - Limits and De

- Page 445 and 446:
Class XI Chapter 13 - Limits and De

- Page 447 and 448:
Class XI Chapter 13 - Limits and De

- Page 449 and 450:
Class XI Chapter 13 - Limits and De

- Page 451 and 452:
Class XI Chapter 13 - Limits and De

- Page 453 and 454:
Class XI Chapter 13 - Limits and De

- Page 455 and 456:
Class XI Chapter 13 - Limits and De

- Page 457 and 458:
Class XI Chapter 13 - Limits and De

- Page 459 and 460:
Class XI Chapter 13 - Limits and De

- Page 461 and 462:
Class XI Chapter 13 - Limits and De

- Page 463 and 464:
Class XI Chapter 13 - Limits and De

- Page 465 and 466:
Class XI Chapter 13 - Limits and De

- Page 467 and 468:
Class XI Chapter 13 - Limits and De

- Page 469 and 470:
Class XI Chapter 13 - Limits and De

- Page 471 and 472:
Class XI Chapter 13 - Limits and De

- Page 473 and 474:
Class XI Chapter 13 - Limits and De

- Page 475 and 476:
Class XI Chapter 13 - Limits and De

- Page 477 and 478:
Class XI Chapter 13 - Limits and De

- Page 479 and 480:
Class XI Chapter 13 - Limits and De

- Page 481 and 482:
Class XI Chapter 13 - Limits and De

- Page 483 and 484:
Class XI Chapter 13 - Limits and De

- Page 485 and 486:
Class XI Chapter 13 - Limits and De

- Page 487 and 488:
Class XI Chapter 13 - Limits and De

- Page 489 and 490:
Class XI Chapter 13 - Limits and De

- Page 491 and 492:
Class XI Chapter 14 - Mathematical

- Page 493 and 494:
Class XI Chapter 14 - Mathematical

- Page 495 and 496:
Class XI Chapter 14 - Mathematical

- Page 497 and 498:
Class XI Chapter 14 - Mathematical

- Page 499 and 500:
Class XI Chapter 14 - Mathematical

- Page 501 and 502:
Class XI Chapter 14 - Mathematical

- Page 503 and 504:
Class XI Chapter 14 - Mathematical

- Page 505 and 506:
Class XI Chapter 14 - Mathematical

- Page 507 and 508:
Class XI Chapter 15 - Statistics Ma

- Page 509 and 510:
Class XI Chapter 15 - Statistics Ma

- Page 511 and 512:
Class XI Chapter 15 - Statistics Ma

- Page 513 and 514:
Class XI Chapter 15 - Statistics Ma

- Page 515 and 516:
Class XI Chapter 15 - Statistics Ma

- Page 517 and 518:
Class XI Chapter 15 - Statistics Ma

- Page 519 and 520:
Class XI Chapter 15 - Statistics Ma

- Page 521 and 522:
Class XI Chapter 15 - Statistics Ma

- Page 523 and 524:
Class XI Chapter 15 - Statistics Ma

- Page 525 and 526:
Class XI Chapter 15 - Statistics Ma

- Page 527 and 528:
Class XI Chapter 15 - Statistics Ma

- Page 529 and 530:
Class XI Chapter 15 - Statistics Ma

- Page 531 and 532:
Class XI Chapter 15 - Statistics Ma

- Page 533 and 534:
Class XI Chapter 15 - Statistics Ma

- Page 535:
Class XI Chapter 15 - Statistics Ma