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If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi, sho...

If `sin^(-1)x+sin^(-1)y+sin^(-1)z=pi`, show that `x^4+y^4+z^4+4x^2y^2z^2=2(x^2y^2+y^2z^2+z^2x^2)`

A

1

B

2

C

4

D

None of these

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The correct Answer is:
B
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 3-MCQS
  1. (p ^^ ~q) ^^ (~p vv q) is

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  2. If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi, show that x^4+y^4+z^4+4x^2y^2z^2=...

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  3. if y=logx*e^((tanx+x^(2))), then (dy)/(dx) is equal to

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  4. If y=(log)(sinx)(tanx) , then (((dy)/(dx)))(pi//4) is equal to.......

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  5. Suppose a circle passes through (2,2) and (9,9) and touches the X-axis...

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  6. If int(f(x))/(logsinx)dx=log*logsinx, then f(x) is equal to

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  7. The number of solutions of the equation 2(sin^(4)2x+cos^(4)2x)+3sin^(2...

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  8. The angle between the pair of straight lines formed by joining the poi...

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  9. If a,b,c are vectors such that a*b=0 and a+b=c

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  10. Find the equation of the circle with centre (2,2) and passing through ...

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  11. The direction cosines of the line drawn from P(-5,3,1) to Q(1,5,-2) is

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  12. The maximum value of Z =x +3y such that 2x +y le 20, x +2y le 20, x g...

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  13. Solution of the differential equation (dy)/(dx)=(y(x-y ln y))/(x(xlnx-...

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  14. IF the mean and S.D. of binomial distribution are 20 and 4 respectivel...

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  15. The vertices of a triangle are A (-1, -7), B (5, 1) and C(1, 4). The ...

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  16. Let A=[(1,2),(-1,3)] .If A^6=kA-205I then then numerical quantity of...

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  17. if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...

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  18. int (cos2theta) . log((costheta+sintheta)/(costheta-sintheta...

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  19. int(pi//2)^(pi//2)(cosx)/(1+e^(x))dx is equal to

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  20. Two of the straight lines given by 3x^(3)+3x^(2)y-3xy^(2)+dy^(3)=0 are...

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