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If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(...

If `x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t))`, then show that `(dy)/(dx)=-(y)/(x)`.

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The correct Answer is:
`=(-y)/(x)`
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ARIHANT PRAKASHAN-VERY SIMILAR TEST 2 -SECTION -B
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  3. A random variable X has following probability distribution . Fin...

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  4. A random variable X has following probability distribution . Fin...

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  5. A random variable X has following probability distribution . Fin...

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  6. A random variable X has following probability distribution . Fin...

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  7. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)), then show that (dy)/(d...

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  8. Find the extreme points of the function f(x)=x^(2)sqrt(1-x^(2)). Als...

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  9. Verify the LMVT for the function f(x)=(1)/(4x-1),1lexle4.

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  10. Using differentials, find approximate value (255)^(1//4)

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  11. Find the equations of all lines having slope -1, that are tangent to t...

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  12. Evaluate int(1)/(sqrt(8+3x-x^(2)))dx.

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  13. Evaluate int(0)^(pi//4)tan^(5)xdx.

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  14. Find the area enclosed by the ellipse (x^(2))/(16)+(y^(2))/(9)=1.

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  16. If vec(a), vec(b) and vec(c) are three vectors such that vec(a) + vec(...

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  17. If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|...

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  18. If veca,vecb are unit vectors such that the vector veca+3vecb is per...

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  19. Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...

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