Home
Class 12
MATHS
The number of the solutions of the equat...

The number of the solutions of the equation `2 sin^(-1) sqrt(x^(2) + x + 1) + cos^(-1) sqrt(x^(2) + x) = (3pi)/(2)` is

A

0

B

-1

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-2|58 Videos
  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos
  • JEE MAIN - 5

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|5 Videos

Similar Questions

Explore conceptually related problems

The number of solutions for the equation sin^(-1) sqrt((x^(2)-x+1))+cos^(-1)sqrt((x^(2)-x))=pi is :

The number of real solution of the equation tan^(-1) sqrt(x^(2) - 3x + 2) + cos^(-1) sqrt(4x - x^(2) -3) = pi is

The number of real solution(s) of the equation sin^(-1)sqrt(x^(2)-x+1)+cos^(-1)sqrt(x^(2)-x)=pi is/are

The number of real solution of the equation tan^(-1) sqrt(x^2-3x +7) + cos^(-1) sqrt(4x^2-x + 3) = pi is

The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1)sqrt(x^2+x)=(3pi)/2 is 0 (b) -1 (c) 1 (d) 2

The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(-1) (sqrt(1 - x^2)/x) - sin^(-1) x , is

The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3x+4

The number of solution of the equation |tan^(-1)|x||=sqrt((x^(2)+1)^(2)-4x^(2)) is

Find the number of real solutions of the equation sin^(-1)(e^(x))+cos^(-1)(x^(2))=pi//2 .

The number of solutions of the equation sin x . Sin 2x. Sin 3x=1 in [0,2pi] is