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If x,y,z are all distinct and if abs((x,...

If x,y,z are all distinct and if `abs((x,x^2,1+x^3),(y,y^2,1+y^3),(z,z^2,1+z^3))`=0,show that xyz+1=0

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UNITED BOOK HOUSE-SET 18-EXERCISE
  1. if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3 , then sho...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Prove that the radius of the right circular cylinder of greatest curve...

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  20. choose the correct alternative :(ii) state which of the foll. Is the v...

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