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x = cos^(-1)((1)/(sqrt(1+t^(2)))),y = si...

`x = cos^(-1)((1)/(sqrt(1+t^(2)))),y = sin^(-1)((t)/(sqrt(1+t^(2))))rArr(dy)/(dx)` is equal to

A

0

B

1

C

`-1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
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  3. x = cos^(-1)((1)/(sqrt(1+t^(2)))),y = sin^(-1)((t)/(sqrt(1+t^(2))))rAr...

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  4. x ^(2) + y^(2) = t + 1/t, x ^(4) + y^(4) = t ^(2) + (1)/( t ^(2)) impl...

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  5. A function is represented parametrically by the equations x=(1+t)/(t^3...

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  7. If cos y =x cos (a + y) then (dy)/(dx)=

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  8. If xsqrt(1+y)+ysqrt(1+x)=0 then (dy)/(dx)=

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  9. If sin (x+y) = log (x + y), then dy //dx =

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  11. If x^4 + 7 x^2y^2+9y^4 =24 xy^3 then (dy)/(dx) =

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  12. If ax ^(2) + 2 hxy + by ^(2) =0 then (dy )/(dx) =

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  13. If x sin(a+y) = siny then (dy)/(dx) is equal to

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  14. If e^(x+y) =xy then (dy)/(dx) =

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  15. If x sin y = 3 sin y + 4 cos y , then (dy)/(dx) =

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  16. If y = 1/x then (dy)/(dx)+sqrt((1+y^4)/(1+x^4))=

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  17. If y = e^("sin"^2 x + "sin"^4x + "sin"^6x +...+oo), then (dy)/(dx) =

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  18. If x+ y = 3e^2 then d/(dx)(x^y)=0 for x =

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  19. If x = t ^(2), y = t ^(3) then (d ^(2) y)/(dx ^(2)) =

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  20. If y= sin x +e^(x) then (d^2x)/(dy^2) =

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