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if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi...

`if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3` , then show that x=y=z.

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UNITED BOOK HOUSE-SET 18-EXERCISE
  1. Find the binomial distribution for which the mean and variance are 12 ...

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  2. If for two events A and B, P(A) = P(A/B) = 1/4 and P(B/A) = 1/2, show ...

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  3. if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3 , then sho...

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  4. If A = [(1,0),(0,1)] and B = [(0,1),(-1,0)], show that (pA + qB) (pA -...

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  5. If x,y,z are all distinct and if abs((x,x^2,1+x^3),(y,y^2,1+y^3),(z,z^...

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  6. Solve for x : |(x,a,b),(a,x,b),(a,b,x)| = 0

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  7. Find the derivation of sin^-1 (x^2 sqrt(1-x) - sqrtx sqrt(1-x^4)) with...

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  8. Evaluate : int(x^2dx)/((x sin x + cos x)^2)

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  9. Solve: (dy)/(dx) +x(sin2y) = x^3 cos^2 y, y(0) = then y(1) equal to

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  10. The temperature T of a cooling object drops at a rate proportional to ...

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  11. If veca,vecb are unit vectors and theta be the angle between them show...

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  12. If with reference to the right handed system of mutually perpendicular...

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  13. Evaluate : underset(nrarrinfty)Lt[(1)/(sqrt(n^2 - 1^2)) + 1/(sqrt(n^...

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  14. Evaluate : overset(log5)underset(0)int (e^xsqrt(e^x-1))/(e^x + 3 ) dx

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  15. A random variable X has the following probability function: Calculate...

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  16. A random variable X has the following probability function: Find P(x ...

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  17. A random varible x has the following probability function: the va...

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  18. Six coins are tossed at a time. Find the probability of occring not mo...

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  19. In a certain culture the number of bacteria at any instant increases a...

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  20. Find the equation of the common tangents to y^2 = 8ax and x^2 + y^2 = ...

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