Home
Class 12
MATHS
If the equation sin^(-1)(x^2+x +1)+cos^(...

If the equation `sin^(-1)(x^2+x +1)+cos^(-1)(lambda x+1)=pi/2` has exactly two solutions, then the value of `lambda` is

A

-1

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D)(LINKED COMPREHENSION TYPE QUESTIONS)|9 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - E)(ASSERTION-REASON TYPE QUESTIONS)|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|36 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

If the equation sin^(-1)(x^(2)+x+1)+cos^(-1)(lambda+1)=(pi)/(2) has exactly two solutions for lambda in[a,b], then the value of a+b is

If "sin" x = lambda has exactly one solution in [0, 9 pi//4] then the number of values of lambda , is

If the equation |x^(2)-5x+6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

If the equation2^((2pi)/cos^(-1)x)-(a+1/2)2^((pi)/cos^(-1)x-a^2=0 has exactly one real solution the range of a is equal to

The equation "sin"^(6) x + "cos"^(6) x = lambda , has a solution if

If the equation x^(2)+2(lambda+1)x+lambda^(2)+lambda+7=0 has only negative roots,then the least value of lambda equals

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval

If tan^(-1) (sqrt( 1 +x^(2)) -1)/x = lambda tan^(-1)x then the value of lambda is

Find the range of lambda so that the equation sin^(6)x+cos^(6)x=lambda-1 has a real solution.