Let A = {x, y, z} and B = {a, b, c, d}. Which one of the followin

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

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

211.

If f : R R and g : R  R are defined by f (x) = x - 3 and g(x) = x2 + 1, then the values of x for which g{f(x)} = 10 are

  • 0, - 6

  • 2, - 2

  • 1, - 1

  • 0, 6


212.

loge1 + 3x1 - 2x is equal to

  • - 5x - 5x22 - 35x33 - ...

  • - 5x + 5x22 - 35x33 + ...

  • 5x - 5x22 + 35x33 - ...

  • 5x + 5x22 + 35x33 + ...


213.

Let fx = αx2x + 1, x  - 1. The value of α for which f (a) = a, (a  0) is

  • 1 - 1a

  • 1a

  • 1 + 1a

  • 1a - 1


214.

For a, b  R, define a * b = aa + b, where a + b  0. If a * b = 5,  then the value of b * a is

  • 5

  • - 5

  • 4

  • - 4


Advertisement
Advertisement

215.

Let A = {x, y, z} and B = {a, b, c, d}. Which one of the following is not a relation from A to B ?

  • {(x, a), (x, c)}

  • {(y, c), (y, d)}

  • {(z, a), (z, d)}

  • {(z, b), (y, b), (a, d)}


D.

{(z, b), (y, b), (a, d)}

Clearly, option (d) is correct because (a, d)  A x B.


Advertisement
216.

If f(x) = x2 - 1 and g(x) = (x + 1)2, then (gof) (x) is

  • (x + 1)4 - 1

  • x4 - 1

  • x4

  • (x + 1)4


217.

If the function f : [1, )  [1, ) is defined by f(x) = 2x(x - 1), then f-1(x) is

  • 12xx - 1

  • 121 - 1 + 4log2x

  • 121 + 4log2x

  • 121 + 1 + 4log2x


218.

If n(A) = 8 and nA  B = 2, then nA  B'  A is equal to

  • 2

  • 4

  • 6

  • 8


Advertisement
219.

If f(x) = sinx + cosxx  - ,  and g(x) = x2x  - , , then (fog)(x) is equal to

  • 1

  • 0

  • sin2x + cosx2

  • sinx2 + cosx2


220.

If n(A) = 5 and n(B) = 7, then the number of relations on A x B is

  • 235

  • 249

  • 225

  • 235 × 35


Advertisement