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If sin^(-1)x+sin^(-1)y=(2pi)/3 then what...

If `sin^(-1)x+sin^(-1)y=(2pi)/3` then what is `cos^(-1)x +cos^(-1)y`

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SHARAM PUBLICATION-MODEL QUESTION PAPER 14-EXERCISE
  1. If f:RrarrR and g:RrarrR is defined by f(x)=sinx and g(x)=5x^2, then (...

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  2. If sin^(-1)x+sin^(-1)y=(2pi)/3 then what is cos^(-1)x +cos^(-1)y

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  3. Determine the maximum value of |[cosx sinx], [-sinx cosx-1]|.

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  4. If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) bo...

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  5. What is the derivative of sin^(-1)((2x)/(1+x^2)) w.r.t tan^(-1)((2x)/(...

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  6. What is thevalue of a for which the function f(x) = a sin x + 1/3sin 3...

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  7. Evaluate int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cos x))dx

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  8. Form the differential equation , whose solution is y=e^(x+a)

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  9. If (vec a times vec b)^2 + (vec a cdot vec b)^2=144, write the value o...

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  10. What are the direction consines of the normal to the plane 3x - 2y - 2...

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  11. Let f : W rarr W be defined as f (x) = x -1 if x is odd and f(x) = x +...

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  12. Prove the sin^2(sin^(-1) x+sin^(-1) y+sin^(-1)z) =cos^2 (cos^(-1)x +c...

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  13. Solve for x tan^(-1)(x+2)+tan^(-1)(x-2)=tan^(-1)(8/79),x>0.

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  14. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  15. Find x, so that [{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(...

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  16. If A =[[1,2,2],[2,1,2],[2,2,1]] then prove that A^2-4A-5I=0.

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  17. Prove that:|[1, a ,a^2],[a^2, 1 ,a],[a, a^2, 1]| is a perfect square.

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  18. Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0

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  19. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

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  20. If x=a(cost+tsint) and y=a(sint-tcost), then find (d^(2)y)/(dx^(2)) at...

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