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The number of solutions for the equation...

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

A

1

B

2

C

3

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
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VMC MODULES ENGLISH-INVERSE TRIGONOMETRY-LEVEL-2
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  2. Find the sum of infinite series s = sin^(-1) ( 1/sqrt2) + sin ^(-1) ...

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  3. The number of solutions for the equation sin^(-1) sqrt((x^(2)-x+1))+c...

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  4. Solution set of the inequality ( cot^(-1) x)^(2) - ( 5 cot^(-1) x) +...

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  5. Solve tan^(-1)x+sin^(-1)x=tan^(-1)2xdot

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  6. If sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)=pi/2 then find the value of x...

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  7. If x and y are positive integers such that tan^(-1)x+cot^(-1)y=tan^(-...

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  8. If cos^(-1)((7)/(|x|))+cos^(-1)((4sqrt(15))/(|x|))=(pi)/(2), then:

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  11. cos^(-1)x=tan^(-1)x then

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  13. Let x1,x2,x3,x4 be four non zero numbers satisfying the equation tan^...

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  14. The least value of n for which (n -2) x^(2) + 8 x + n + 4 gt sin^...

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  15. For x,y,z,t in R, if sin^(-1)x+cos^(-1)y+sec^(-1)z ge t^(2)-sqrt(2pi)*...

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  16. Let f(x)=(1)/(pi) (sin^(-1)x+cos^(-1)x+tan^(-1)x)+((x+1))/(x^(2)+2x+10...

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  17. The number of rational numbers in the domain of function y=sin^(-1)...

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  18. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then A=x^(2)+y^(2)+z^(2)....

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  19. Match the Column I with Column II and mark the correct option from the...

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  20. Let t(1)= (sin^(-1)x)^(sin^(-1)x),t(2)= (sin^(-1) x)^(cos^(-1)x),t(3) ...

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