If matrix A = 1- 111, then from Mathematics JEE Year 2

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

1.

If 6i3i- 143i- 1203i = x + iy, then

  • x = 3, y = 1

  • x = 1, y = 3

  • x = 0, y = 3

  • x = 0, y = 0


2.

1logbalogab1 is equal to

  • 1

  • 0

  • logab

  • logba


3.

If A = 12- 30 and B = - 1023, then

  • A2 = A

  • B2 = B

  • AB  BA

  • AB = BA


4.

If A = abba and A2 = αββα, then

  • α = a2 + b2, β = ab

  • α = a2 + b2, β = 2ab

  • α = a2 + b2, β = a2 - b2

  • α = 2ab, β= a2 + b2


Advertisement
Advertisement

5.

If matrix A = 1- 111, then

  • A' = 111- 1

  • A- 1 = 11- 11

  • A . 11- 11 = 2I

  • λA = λ- λ- 11, where λ is a non- zero scalar


C.

A . 11- 11 = 2I

Given, A = 1- 111 A11- 11 = 1- 11111- 11                      = 1 + 11 - 11 - 11 + 1                      = 2002 = 21001A . 11- 11 = 2I


Advertisement
6.

If for AX = B, B = 9520 and A- 1 = 3- 1/2- 1/2- 43/45/42- 1/4- 3/4, then X is equal to

  • 135

  • - 1/2- 1/22

  • - 423

  • 33/4- 3/4


7.

If cos-1xa + cos-1yb = αx2a2 - 2xyabcosα + y2b2, then x2a2 - 2xyabcosα + y2b2 is equal to

  • sin2α

  • acos2α

  • atan2α

  • acot2α


8.

The two curves x3 - 3xy2 + 2 = 0 and 3x2y - y3 - 2 = 0

  • cut at right angle

  • touch each other

  • cut at an angle π3

  • cut at an angle π4


Advertisement
9.

The domain of the function sin-1log2x22 is

  • - 2, 2 ~ - 1, 1

  • - 1, 2 ~ 0

  • [1,2]

  • - 2, 2 ~ 0


10.

If the function f(x) = 1 + sinπx2, for -  < x  1ax +b,           for 1 < x <36tanπx12,      for 3  x < 6 is continuous in the interval (- , 6), then the values of a and b are respectively

  • 0, 2

  • 1, 1

  • 2, 0

  • 2, 1


Advertisement