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If x = a cos^(4)t , y = b sin^(4)t then ...

If `x = a cos^(4)t , y = b sin^(4)t` then `(dy)/(dx)` at `t = (3pi)/4` is

A

`(-b)/a`

B

`b/a`

C

`a/b`

D

`(-a)/b`

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The correct Answer is:
A
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AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
  1. d/(dx)(log(e^x((x-2)/(x+2))^(3//4))) equal to

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  2. y = log^(n)x x where log^(n) means log.log.log ....(repeated n times) ...

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  3. If x = a cos^(4)t , y = b sin^(4)t then (dy)/(dx) at t = (3pi)/4 is

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  4. If x =cos^3 theta, y = sin^3 theta then sqrt(1+((dy)/(dx))^2)=

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  5. If x = a (t + sin t), y = a (1- cost) and (dx)/(dy) =cot p then p =

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  6. If x = "cosec" theta - sintheta, y = "cosec"^(n)theta - sin^(n) theta ...

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  7. If x = a (1-cos theta) , y = a ( theta + sin theta) then (dy)/(dx) a...

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  8. If x = a Sin 2 theta (1+Cos2 theta) , y = b Cos2 theta (1-Cos2 theta) ...

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  9. If x=(3at)/(1+t^2),y=(3at^2)/(1+t^2) then (dy)/(dx)=

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

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

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

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  13. If x+ y = sin(x+y) then (dy)/(dx) =

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

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

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

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  17. If y= sqrt(logx+sqrt(logx+sqrt(logx+...oo))), then(dy)/(dx) is

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

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

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

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