CLASS_11_MATHS_SOLUTIONS_NCERT

Recommendations

Info

Class XI Chapter 11 – Conic Section Maths ______________________________________________________________________________ The coordinates of the foci are 0, 5 3 . The coordinates of the vertices are (0, ±10). Length of major axis = 2a= 20 Length of minor axis = 2b= 10 c 5 3 3 Eccentricity, e = a 10 2 Length of latus rectum 2 2b 225 5 a 10 Question 5: Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the 2 2 x y eccentricity and the length of the latus rectum of the ellipse 1 49 36 Solution 5: 2 2 2 2 x y x y The given equation is 1or 1 2 2 49 36 7 6 2 2 x y Here, the denominator of is greater than the denominator of . 49 36 Therefore, the major axis is along the x-axis, while the minor axis is along the y-axis. 2 2 x y On comparing the given equation with 1 , we obtain a = 7 and b = 6. 2 2 a b 2 2 c a b 49 36 13 Therefore, The coordinates of the foci are 13,0 The coordinates of the vertices are ( ±7, 0). Length of major axis = 2a= 14 Length of minor axis = 2b= 12 c 13 Eccentricity, e = a 7 2 2b 236 72 Length of latus rectum = a 7 7 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.
Class XI Chapter 11 – Conic Section Maths ______________________________________________________________________________ Question 6: Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse Solution 6: The given equation is 2 2 2 2 x y x y 1or 100 400 10 20 1 2 2 2 2 x y 1 100 400 2 x . Here, the denominator of is greater than the denominator of 100 Therefore, the major axis is along the y-axis, while the minor axis is along the x-axis. On comparing the given equation with, x b y we obtain b = 10 and a = 20. a 2 2 1 2 2 2 2 c a b 400 100 300 10 3 Therefore, The coordinates of the foci are 0, 10 3. The coordinates of the vertices are (0, ±20) Length of major axis = 2a= 40 Length of minor axis = 2b= 20 c 10 3 3 Eccentricity, e= a 20 2 Length of latus rectum 2 2b 2100 10 a 20 Question 7: Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 36x 2 + 4y 2 = 144 Solution 7: The given equation is 36x2+ 4y2= 144. It can be written as 2 2 36x 4y 114 2 2 x y Or, 1 4 36 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:
Page 201 and 202:
Page 203 and 204:
Page 205 and 206:
Page 207 and 208:
Page 209 and 210:
Page 211 and 212:
Page 213 and 214:
Page 215 and 216:
Page 217 and 218:
Page 219 and 220:
Class XI Chapter 8 - Binomial Theor
Page 221 and 222:
Page 223 and 224:
Page 225 and 226:
Page 227 and 228:
Page 229 and 230:
Page 231 and 232:
Page 233 and 234:
Page 235 and 236:
Page 237 and 238:
Page 239 and 240:
Page 241 and 242:
Class XI Chapter 9 - Sequences and
Page 243 and 244:
Page 245 and 246:
Page 247 and 248:
Page 249 and 250:
Page 251 and 252:
Page 253 and 254:
Page 255 and 256:
Page 257 and 258:
Page 259 and 260:
Page 261 and 262:
Page 263 and 264:
Page 265 and 266:
Page 267 and 268:
Page 269 and 270:
Page 271 and 272:
Page 273 and 274:
Page 275 and 276:
Page 277 and 278:
Page 279 and 280:
Page 281 and 282:
Page 283 and 284:
Page 285 and 286:
Page 287 and 288:
Page 289 and 290:
Page 291 and 292:
Page 293 and 294:
Page 295 and 296:
Page 297 and 298:
Page 299 and 300:
Page 301 and 302:
Page 303 and 304:
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: Class XI Chapter 10 - Straight Line
Page 373 and 374: Class XI Chapter 11 - Conic Section
Page 387: Class XI Chapter 11 - Conic Section
Page 417 and 418: Class XI Chapter 12 - Introduction
Page 431 and 432: Class XI Chapter 13 - Limits and De
Page 439 and 440:
Class XI Chapter 13 - Limits and De
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?