JEE Questions for Maths Binomial Theorem And Mathematical Lnduction Quiz 9 - MCQExams.com


Maths-Binomial Theorem and Mathematical lnduction-11963.png

  • Maths-Binomial Theorem and Mathematical lnduction-11964.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11965.png

  • Maths-Binomial Theorem and Mathematical lnduction-11966.png

  • Maths-Binomial Theorem and Mathematical lnduction-11967.png

Maths-Binomial Theorem and Mathematical lnduction-11968.png

  • Maths-Binomial Theorem and Mathematical lnduction-11969.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11970.png

  • Maths-Binomial Theorem and Mathematical lnduction-11971.png

  • Maths-Binomial Theorem and Mathematical lnduction-11972.png

Maths-Binomial Theorem and Mathematical lnduction-11973.png

  • Maths-Binomial Theorem and Mathematical lnduction-11974.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11975.png

  • Maths-Binomial Theorem and Mathematical lnduction-11976.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-11977.png

  • Maths-Binomial Theorem and Mathematical lnduction-11978.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11979.png

  • Maths-Binomial Theorem and Mathematical lnduction-11980.png
  • None of the above

Maths-Binomial Theorem and Mathematical lnduction-11981.png

  • Maths-Binomial Theorem and Mathematical lnduction-11982.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11983.png

  • Maths-Binomial Theorem and Mathematical lnduction-11984.png

  • Maths-Binomial Theorem and Mathematical lnduction-11985.png

Maths-Binomial Theorem and Mathematical lnduction-11986.png
  • 56
  • 55
  • 45
  • 15

Maths-Binomial Theorem and Mathematical lnduction-11987.png
  • – 455
  • –105
  • 105
  • 455
The coefficient of x5 in the expansion of (1 + x)21 + (1 + x)22 +...+ (1 + x)30 is
  • 51C5
  • 9C5
  • 31C6 - 21C6
  • 30C5 + 20C5
The coefficient of x4 in the expansion of (1 + x + x2 + x3)n is

  • Maths-Binomial Theorem and Mathematical lnduction-11988.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11989.png

  • Maths-Binomial Theorem and Mathematical lnduction-11990.png

  • Maths-Binomial Theorem and Mathematical lnduction-11991.png
The greatest coefficient in the expansion of (1 + x)2n+1 is

  • Maths-Binomial Theorem and Mathematical lnduction-11992.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11993.png

  • Maths-Binomial Theorem and Mathematical lnduction-11994.png

  • Maths-Binomial Theorem and Mathematical lnduction-11995.png
In the expansion of (1 + x)n the coefficient of pth and (p + 1)th terms are respectively p and q. Then p + q =
  • n + 3
  • n + 1
  • n + 2
  • n
If the coefficients of x2 and x3 in the expansion of (3 + ax)9 are the same, then the value of a is

  • Maths-Binomial Theorem and Mathematical lnduction-11996.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11997.png

  • Maths-Binomial Theorem and Mathematical lnduction-11998.png

  • Maths-Binomial Theorem and Mathematical lnduction-11999.png

Maths-Binomial Theorem and Mathematical lnduction-12000.png
  • -7
  • 7

  • Maths-Binomial Theorem and Mathematical lnduction-12001.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12002.png

Maths-Binomial Theorem and Mathematical lnduction-12003.png

  • Maths-Binomial Theorem and Mathematical lnduction-12004.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12005.png

  • Maths-Binomial Theorem and Mathematical lnduction-12006.png

  • Maths-Binomial Theorem and Mathematical lnduction-12007.png
If in the expansion of (1 + x)21 , the coefficients of xr and xr+1 be equal , then r is equal to
  • 9
  • 10
  • 11
  • 12

Maths-Binomial Theorem and Mathematical lnduction-12008.png
  • 3/2
  • 5/4
  • 5/2
  • None of these
In the expansion of (1 + 3x + 2x2)6 the coefficient of x11 is
  • 144
  • 288
  • 216
  • 576
The interval in which x must lie so that the greatest term in the expansion of (1 + x)2n has the greatest coefficient , is

  • Maths-Binomial Theorem and Mathematical lnduction-12009.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12010.png

  • Maths-Binomial Theorem and Mathematical lnduction-12011.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12012.png

  • Maths-Binomial Theorem and Mathematical lnduction-12013.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12014.png

  • Maths-Binomial Theorem and Mathematical lnduction-12015.png

  • Maths-Binomial Theorem and Mathematical lnduction-12016.png

Maths-Binomial Theorem and Mathematical lnduction-12017.png
  • 1
  • – 1
  • – 48
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12018.png
  • 10th
  • 9th
  • 8th
  • 7th

Maths-Binomial Theorem and Mathematical lnduction-12019.png

  • Maths-Binomial Theorem and Mathematical lnduction-12020.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12021.png

  • Maths-Binomial Theorem and Mathematical lnduction-12022.png

  • Maths-Binomial Theorem and Mathematical lnduction-12023.png

Maths-Binomial Theorem and Mathematical lnduction-12024.png
  • 153090
  • 150000
  • 150090
  • 153180
The coefficient of middle term in the expansion of (1 + x)10 is

  • Maths-Binomial Theorem and Mathematical lnduction-12025.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12026.png

  • Maths-Binomial Theorem and Mathematical lnduction-12027.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12028.png
  • 0
  • 1
  • 1/4
  • 1/2

Maths-Binomial Theorem and Mathematical lnduction-12029.png

  • Maths-Binomial Theorem and Mathematical lnduction-12030.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12031.png

  • Maths-Binomial Theorem and Mathematical lnduction-12032.png
  • None of these
The coefficient of the middle term in the expansion of (x + 2y)6 is

  • Maths-Binomial Theorem and Mathematical lnduction-12033.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12034.png

  • Maths-Binomial Theorem and Mathematical lnduction-12035.png

  • Maths-Binomial Theorem and Mathematical lnduction-12036.png

Maths-Binomial Theorem and Mathematical lnduction-12037.png
  • 9
  • 10
  • 8
  • 7
The coefficients of the (r – 1)th, rth and (r + 1)th terms in the expansion of (x + 1)n are in the ratio 1 : 3 : 5. The pair (n,r) is
  • (6,3)
  • (7,3)
  • (5,3)
  • (5,1)

Maths-Binomial Theorem and Mathematical lnduction-12038.png

  • Maths-Binomial Theorem and Mathematical lnduction-12039.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12040.png

  • Maths-Binomial Theorem and Mathematical lnduction-12041.png

  • Maths-Binomial Theorem and Mathematical lnduction-12042.png

Maths-Binomial Theorem and Mathematical lnduction-12044.png

  • Maths-Binomial Theorem and Mathematical lnduction-12045.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12046.png

  • Maths-Binomial Theorem and Mathematical lnduction-12047.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12049.png

  • Maths-Binomial Theorem and Mathematical lnduction-12050.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12051.png

  • Maths-Binomial Theorem and Mathematical lnduction-12052.png

  • Maths-Binomial Theorem and Mathematical lnduction-12053.png

Maths-Binomial Theorem and Mathematical lnduction-12055.png

  • Maths-Binomial Theorem and Mathematical lnduction-12056.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12057.png

  • Maths-Binomial Theorem and Mathematical lnduction-12058.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12060.png

  • Maths-Binomial Theorem and Mathematical lnduction-12061.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12062.png

  • Maths-Binomial Theorem and Mathematical lnduction-12063.png

  • Maths-Binomial Theorem and Mathematical lnduction-12064.png

Maths-Binomial Theorem and Mathematical lnduction-12066.png

  • Maths-Binomial Theorem and Mathematical lnduction-12067.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12068.png

  • Maths-Binomial Theorem and Mathematical lnduction-12069.png

  • Maths-Binomial Theorem and Mathematical lnduction-12070.png

Maths-Binomial Theorem and Mathematical lnduction-12072.png

  • Maths-Binomial Theorem and Mathematical lnduction-12073.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12074.png

  • Maths-Binomial Theorem and Mathematical lnduction-12075.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12077.png

  • Maths-Binomial Theorem and Mathematical lnduction-12078.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12079.png

  • Maths-Binomial Theorem and Mathematical lnduction-12080.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12082.png

  • Maths-Binomial Theorem and Mathematical lnduction-12083.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12084.png
  • 0
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12086.png

  • Maths-Binomial Theorem and Mathematical lnduction-12087.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12088.png

  • Maths-Binomial Theorem and Mathematical lnduction-12089.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12091.png
  • 14.214
  • 13.214 + 1
  • 13.214 – 1
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12093.png

  • Maths-Binomial Theorem and Mathematical lnduction-12094.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12095.png

  • Maths-Binomial Theorem and Mathematical lnduction-12096.png

  • Maths-Binomial Theorem and Mathematical lnduction-12097.png
In the expansion of (1 + x)n the sum of coefficients of odd powers of x is
  • 2n + 1
  • 2n – 1
  • 2n
  • 2n–1
If the sum of the coefficient in the expansion of (x – 2y + 3z)n is 128 then the greatest coefficient in the expansion of (1 + x)n is
  • 35
  • 20
  • 10
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12101.png
  • 32
  • 63
  • 64
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12103.png
  • a
  • 0
  • a2
  • 2n

Maths-Binomial Theorem and Mathematical lnduction-12105.png

  • Maths-Binomial Theorem and Mathematical lnduction-12106.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12107.png

  • Maths-Binomial Theorem and Mathematical lnduction-12108.png
  • None of these
If the sum of the coefficients in the expansion of (α2 x2 – 2αx + 1)51 vanishes, then the value of α is
  • 2
  • –1
  • 1
  • –2

Maths-Binomial Theorem and Mathematical lnduction-12111.png
  • nxy
  • nx(x + yn)
  • nx(nx + y)
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12113.png

  • Maths-Binomial Theorem and Mathematical lnduction-12114.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12115.png

  • Maths-Binomial Theorem and Mathematical lnduction-12116.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-12118.png

  • Maths-Binomial Theorem and Mathematical lnduction-12119.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-12120.png

  • Maths-Binomial Theorem and Mathematical lnduction-12121.png

  • Maths-Binomial Theorem and Mathematical lnduction-12122.png
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