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The length of the subnormal of the curve...

The length of the subnormal of the curves `x=acos^3theat,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:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
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  2. The length of subnormal to the curve y=bsinx/a at any point is

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

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

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

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

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  7. The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

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  8. For the curve y^2=(x+a)^3, the square of the subtangent is ….. Subnorm...

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  9. The subtangent, ordinate and subnormal to the parabola y^2=4ax at a po...

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  10. If the relation between subnormal SN and subtangent ST at any point on...

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  11. If the subnormal of the curve xy^n=a^(n+1) is constant, then the value...

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  12. If the subnormal at any point y=a^(1-n)x^n is of constant length, then...

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  13. If at any point on the curve y=f(x), the length of the subnormal is co...

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  14. The length of the subtangent to the curve y=ae^(x//b) at any point is

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  15. the length of the subnormal to the curve y^2=4ax at any point is

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  16. Length of the subtangent at any point on y^n=a^(n-1)x is

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  17. Length of the subnormal at any point on y^n=a^(n-1)x is constant when ...

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  18. The length of the tangent to the curve x=a(cost+logtant/2),y=asint at ...

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  19. The sum of the lengths of the subtangent and subnormal at theta=pi//3 ...

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  20. If the length of the subtangent = 9 and the length of the subnormal = ...

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