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The length of subnormal of the curve 2x^...

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

A

`sqrt(325)/2`

B

`3sqrt(325)/17`

C

`17/2`

D

`18/17`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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