CLASS_11_MATHS_SOLUTIONS_NCERT

Recommendations

Info

Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ n 2 1 1 1 2 a n d 5n 4 n 2a 9 6 2 n 1 n d 2 2 2a1 n 1 d1 5n 4 2a n 1 d 9n 5 2 2 Substituting 2 2 ....... 1 n 35 in (1), we obtain 2a 5 35 4 1 34d 1 2a 34d 9 35 6 a1 17d1 179 a 17d 321 2 2 ....... 2 th 18 termof first a 17d th 18 termof second A.P. a 17d From (2) and (3), we obtain th 18 termof first 179 th 18 termof second A.P. 321 1 1 2 2 …….. (3) Thus, the ratio of 18 th term of both the A.P.s is 179 : 321. Question 10: If the sum of first of the first Solution 10: p q p terms of an A.P. is equal to the sum of the first q terms, then find the sum terms. Let a and d be the first term and the common difference of the A.P. respectively. Here, p SP 2a p 1 d 2 b p Sq 2a q 1 d 2 According to the given condition, p q 2a p 1 d 2a q 1 d 2 2 p 2a p 1 d q 2a q 1 d 2ap pd p 1 2aq qd q 1 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.
Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ 2a p q d p p 1 q q 1 0 2 2 2a p q d p p q q 0 2a p q d p q p q p q 0 2a p q d p q p q 1 0 2a d p q 1 0 2a d pq1 ...... 1 p q S pq 2a p q 1 d 2 p q 2a S pq 2a p q 1 2 pq1 p q 2 0 2a2a p q Thus, the sum of the first terms of the A.P is 0. [From (1)] Question <strong>11</strong>: Sum of the first p, q and r terms of an A.P. are a, b and c, respectively. Prove that a b c p q r q r r p p q 0 Solution <strong>11</strong>: Let a 1 and d be the first term and the common difference of the A.P. respectively. According to the given information, p S p 2a1 p 1 d a 2 2a 2a1 p 1 d ....... 1 p q Sq 2a1 q 1 d b 2 2b 2a1 q 1 d ...... 2 q r Sr 2a1 r 1 d c 2 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:
Page 5 and 6:
Page 7 and 8:
Page 9 and 10:
Page 11 and 12:
Page 13 and 14:
Page 15 and 16:
Page 17 and 18:
Page 19 and 20:
Page 21 and 22:
Page 23 and 24:
Page 25 and 26:
Page 27 and 28:
Page 29 and 30:
Page 31 and 32:
Page 33 and 34:
Page 35 and 36:
Page 37 and 38:
Page 39 and 40:
Page 41 and 42:
Page 43 and 44:
Class XI Chapter 2 - Relations and
Page 45 and 46:
Page 47 and 48:
Page 49 and 50:
Page 51 and 52:
Page 53 and 54:
Page 55 and 56:
Page 57 and 58:
Page 59 and 60:
Page 61 and 62:
Class XI Chapter 3 - Trigonometric
Page 63 and 64:
Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Page 77 and 78:
Page 79 and 80:
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
Page 89 and 90:
Page 91 and 92:
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
Page 99 and 100:
Class XI Chapter 4 - Principle of M
Page 101 and 102:
Page 103 and 104:
Page 105 and 106:
Page 107 and 108:
Page 109 and 110:
Page 111 and 112:
Page 113 and 114:
Page 115 and 116:
Page 117 and 118:
Page 119 and 120:
Page 121 and 122:
Page 123 and 124:
Page 125 and 126:
Class XI Chapter 5 - Complex Number
Page 127 and 128:
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Page 139 and 140:
Page 141 and 142:
Page 143 and 144:
Page 145 and 146:
Page 147 and 148:
Page 149 and 150:
Page 151 and 152:
Page 153 and 154:
Page 155 and 156:
Class XI Chapter 6 - Linear Inequal
Page 157 and 158:
Page 159 and 160:
Page 161 and 162:
Page 163 and 164:
Page 165 and 166:
Page 167 and 168:
Page 169 and 170:
Page 171 and 172:
Page 173 and 174:
Page 175 and 176:
Page 177 and 178:
Page 179 and 180:
Page 181 and 182:
Page 183 and 184:
Page 185 and 186:
Page 187 and 188:
Page 189 and 190:
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
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 219 and 220: Class XI Chapter 8 - Binomial Theor
Page 241 and 242: Class XI Chapter 9 - Sequences and
Page 251: Class XI Chapter 9 - Sequences and
Page 303 and 304:
Class XI Chapter 9 - Sequences and
Page 305 and 306:
Page 307 and 308:
Page 309 and 310:
Page 311 and 312:
Page 313 and 314:
Class XI Chapter 10 - Straight Line
Page 315 and 316:
Page 317 and 318:
Page 319 and 320:
Page 321 and 322:
Page 323 and 324:
Page 325 and 326:
Page 327 and 328:
Page 329 and 330:
Page 331 and 332:
Page 333 and 334:
Page 335 and 336:
Page 337 and 338:
Page 339 and 340:
Page 341 and 342:
Page 343 and 344:
Page 345 and 346:
Page 347 and 348:
Page 349 and 350:
Page 351 and 352:
Page 353 and 354:
Page 355 and 356:
Page 357 and 358:
Page 359 and 360:
Page 361 and 362:
Page 363 and 364:
Page 365 and 366:
Page 367 and 368:
Page 369 and 370:
Page 371 and 372:
Page 373 and 374:
Class XI Chapter 11 - Conic Section
Page 375 and 376:
Page 377 and 378:
Page 379 and 380:
Page 381 and 382:
Page 383 and 384:
Page 385 and 386:
Page 387 and 388:
Page 389 and 390:
Page 391 and 392:
Page 393 and 394:
Page 395 and 396:
Page 397 and 398:
Page 399 and 400:
Page 401 and 402:
Page 403 and 404:
Page 405 and 406:
Page 407 and 408:
Page 409 and 410:
Page 411 and 412:
Page 413 and 414:
Page 415 and 416:
Page 417 and 418:
Class XI Chapter 12 - Introduction
Page 419 and 420:
Page 421 and 422:
Page 423 and 424:
Page 425 and 426:
Page 427 and 428:
Page 429 and 430:
Page 431 and 432:
Class XI Chapter 13 - Limits and De
Page 433 and 434:
Page 435 and 436:
Page 437 and 438:
Page 439 and 440:
Page 441 and 442:
Page 443 and 444:
Page 445 and 446:
Page 447 and 448:
Page 449 and 450:
Page 451 and 452:
Page 453 and 454:
Page 455 and 456:
Page 457 and 458:
Page 459 and 460:
Page 461 and 462:
Page 463 and 464:
Page 465 and 466:
Page 467 and 468:
Page 469 and 470:
Page 471 and 472:
Page 473 and 474:
Page 475 and 476:
Page 477 and 478:
Page 479 and 480:
Page 481 and 482:
Page 483 and 484:
Page 485 and 486:
Page 487 and 488:
Page 489 and 490:
Page 491 and 492:
Class XI Chapter 14 - Mathematical
Page 493 and 494:
Page 495 and 496:
Page 497 and 498:
Page 499 and 500:
Page 501 and 502:
Page 503 and 504:
Page 505 and 506:
Page 507 and 508:
Class XI Chapter 15 - Statistics Ma
Page 509 and 510:
Page 511 and 512:
Page 513 and 514:
Page 515 and 516:
Page 517 and 518:
Page 519 and 520:
Page 521 and 522:
Page 523 and 524:
Page 525 and 526:
Page 527 and 528:
Page 529 and 530:
Page 531 and 532:
Page 533 and 534:
Page 535:
show all

CLASS_11_MATHS_SOLUTIONS_NCERT

Create successful ePaper yourself

Delete template?

Save as template?