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The length of the subtangent of the curv...

The length of the subtangent of the curve `x=acos^3theta,y=asin^3theta(agt0)` is

A

`asin^2theta`

B

`asin^2theta|tan theta|`

C

`asin^2theta|costheta|`

D

`asin^4|sectheta|`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The length of the subtangent of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

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  2. The length of subtangent to x=a(theta+sintheta),y=a(1-costheta) at the...

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  3. The length of the subtangent of the curve x=acos^3theta,y=asin^3theta(...

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  4. For the parabola y^2=4ax, the ratio of the subtangent to the abscissa ...

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  5. The subtangent at x=pi//2 on the cirve y=xsinx is

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  6. The subtangent to the curve x^my^n=a^(m+n) at any point (x,y) is

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  7. The length of the subtangent (if exists) at any point theta on the ell...

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  8. The length of the subtangent to the curve x^2y^2=a^4 at any point (-a,...

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  9. The length of the subtangent at (2, 2) to the cuvre x^5=2y^4 is

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  10. The curve y^2=(x+a)^3, the square of the subtangent is ..... Subnormal

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  11. The length of subnormal at (-1, 4) on y=4x^2 is

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  12. The length of the subnormal to the curve y^2=x^3 at (4, 8) is

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  13. The length of the subnomal to the curve y^2=2px is

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  14. The length of the subnormal to the curve x^2=4ay at (4a,4a) is

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  15. The length of subnormal of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

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  16. The length of subnormal to the curve y=bsinx/a at any point is

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  17. The length of the subnormal of the curves x=acos^3theat,y=asin^3theta(...

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  18. The length of subnormal of the curves y=a/2(e^(x//a)+e^(-x//a)) at any...

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  19. The subnormal of the curve y=a^x at any point on the varies directly a...

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  20. The subnormal to the curve xy=c^2 at any point vaires directly as

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