Home
Class 12
MATHS
The number of real solutions of tan^(-...

The number of real solutions of
`tan^(-1)sqrt(x(x+1)) + sin^(-1) sqrt(x^(2) + x+1 = pi//2` is

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE CONCEPT-BASED SINGLE CORRECT ANSWER TYPE QUESTIONS |10 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)|28 Videos

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • JEE ( MAIN) 2020 QUESTIONS (9TH JAN-MORNING)

    MCGROW HILL PUBLICATION|Exercise JEE (Main) 2020 Questions with Solution Mathematics (9th Jan - Morning)|25 Videos

Similar Questions

Explore conceptually related problems

The number of real solution of cot^(-1)sqrt(x(x+3))+sin^(-1)sqrt(x^(2)+3x+1)=(pi)/(2) is /are

The number of real solution of cot^(-1)sqrt(x(x+4))+cos^(-1)sqrt(x^(2)+4x+1)=(pi)/(2) is equal to

The number of solution of tan^-1(sqrt(x(x-1)))+sin^-1(sqrt(x^2+x+1))=pi/2 are

The number of real roots of the equation tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^(2)+x+1)=(pi)/(4) is :

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

Number of real solutions of sqrt(x)+sqrt(x-sqrt(1-x))=1 is

tan^(-1)sqrt((1-x)/(1+x))+sin^(-1)2x sqrt(1-x^(2))=(5 pi)/(12) if x=

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