If a < 1, b = ∑k =&nb

Subject

Mathematics

Class

JEE Class 12

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

11.

If , then A is equal to

  • - 150

  • - 825

  • 2725


12.

n = 12n2 + n + 1n! is equal to

  • 2e - 1

  • 2e + 1

  • 6e - 1

  • 6e + 1


Advertisement

13.

If a <1, b = k = 1akk, then a is equal to

  • k = 1- 1kbkk

  • k = 1- 1k - 1bkk!

  • k = 1- 1kbkk - 1!

  • k = 1- 1k - 1bkk + 1!


B.

k = 1- 1k - 1bkk!

Given that,a <1, b = k = 1akk                 = a11 + a22 + a33 + ...           b = - log1 - a      a < 1    e- b = 1 - a          a = 1 - e- b                 = 1 - 1 - b1! + b22! - b33! + ...          a = b1! - b22! + b33! - ...          a = k = 1- 1k - 1bkk!


Advertisement
14.

E1 : a + b + c = 0, if 1 is a root of ax2 + bx + c = 0, E2 : b2 - a2 = 2ac, if sinθ, cosθ are the roots of ax2 + bx + c = 0 Which of the following is true ?

  • E1 is true, E2 is true

  • E1 is true, E2 is false

  • E1 is false, E2 is true

  • E1 is false, E2 is false


Advertisement
15.

The roots of the equation x - 3x - 2 = 0 are

  • - 1, - 1, 2

  • - 1, 1, - 2

  • - 1, 2, - 3

  • - 1, - 1, - 2


16.

If α, β, γ are the roots of x3 + 2x2 - 3x - 1 = 0 then α- 2 + β- 2 + γ- 2 = 

  • 12

  • 13

  • 14

  • 15


17.

If A + C = 2B, then cosC - cosAsinA - sinC is equal to

  • cotB

  • cot2B

  • tan2B

  • tanB


18.

A + B = C  cos2A + cos2B + cos2C - 2cosAcosBcosC is equal to

  • 1

  • 2

  • 0

  • 3


Advertisement
19.

If m- 3, 4 + n4 - 3 = 10 - 11, then 3m + 7n is equal to

  • 3

  • 5

  • 10

  • 1


20.

If cos2x = 2 + 1cosx - 12, cosx  12 then x 

  • 2 ± π3 : n  Z

  • 2 ± π6 : n  Z

  • 2 ± π2 : n  Z

  • 2 ± π4 : n  Z


Advertisement