Home
Class 11
MATHS
If the equation sin^(-1)(x^(2)+x+1)+cos^...

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

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|22 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I DOMAIN, RANGE, PRINCIPAL VALUES, BASIC PROPERTIES) (LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

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

The equation Sin^(-1)x-Cos^(-1)x=Cos^(-1)(sqrt3//2) has

The equation 2Cos^(-1)x+Sin^(-1)x=(11pi)/6 has

If sin^(2) x - 2 sin x - 1 = 0 has exactly four different solutions in x in [0, n pi] , then value/ values of n is / are (n in Z)

Solve the following equations : sin^(-1)(1-x)-2sin^(-1)x=(pi)/2 then x is equal to

The equation Sin^(-1)x+Cos^(-1)x=pi//2 is true for x in

Point P(x,y) satisfying the equation sin^(-1)x+cos^(-1)y+cos^(-1)(2xy)=(pi)/2 lies on

Point P(x, y) satisfying the equation Sin^(-1)x+Cos^(-1)y+Cos^(-1)(2xy)=pi/2 lies on