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Let x1 and x2 be solutions of the equati...

Let `x_1` and `x_2` be solutions of the equation `"sin"^(-1)(x^2-3x+5/2)=pi/6`. Then, the value of `x_1^2+x_2^2` is

A

4

B

5

C

`5//2`

D

6

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The correct Answer is:
B
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
  1. Find domain for, f(x)=cos^(-1)[x].

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  2. The domain of the function cos^-1 {log2 (x^2+5x+8)} is

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  3. Let x1 and x2 be solutions of the equation "sin"^(-1)(x^2-3x+5/2)=pi/6...

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  4. The Range of the function y=((cos^(-1)(3x-1))/pi+1)^2 (1) [1,4] (2...

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  5. Find the principal value of cosec^(-1)(-2/sqrt3).

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  6. Find the principal value of sec^(-1)(2)

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  7. Principal value of "tan"^(-1)1+"cos"^(-1)((-1)/(2))+"sin"^(-1)((-1)/(2...

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  8. If "cos"^(-1)x> "sin"^(-1)x, then the set of all values of x is

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  9. "sin"^(-1)("sin" 5)>x^2-4x holds if

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  10. If x epsilon(7pi,8pi), then "tan"^(-1)sqrt((1-"cos" x)/(1+"cos" x))=

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  11. If "tan"^(-1)(-x)+"cos"^(-1)((-1)/(2))=pi/2, then the value of x is eq...

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  12. "cos"^(-1)("cos"((7pi)/(5)))=

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  13. sin[cot^(-1)(cot\ (17pi)/3)]

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  14. The principal values of cost^(-1)(-sin(7pi)/(6)) is

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  15. The value of underset(x to pi/2)limsqrt(("tan"x-"sin"("tan"^(-1)("tan"...

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  16. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

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  17. If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is 6 (b) ...

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  18. The value of cos (1/2 cos^(-1) . 1/8) is equal to

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  19. The principal value of "sin"^(-1)("sin""(5pi)/(3)) is

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  20. Given that "sin"^(-1)("sin""(3pi)/(4))=(2pi)/(k),then k=

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