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If pand qare the lengths of the perpendi...

If pand qare the lengths of the perpendiculars from the origin on the tangent and the normal to the curve `x^(2//3)+y^(2//3)=a^(2//3)`, then `4p^2+q^2`=

A

`a`

B

`a^2`

C

`2a^2`

D

`5a^2`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
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  2. The tangent at any point f the curve x=at^3,y=at^4 divides the absciss...

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  3. If pand qare the lengths of the perpendiculars from the origin on the ...

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  4. If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercep...

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  5. The sum of the squares o the intercepts on the coordinates axes of any...

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  6. If the tangent at any point on the curve x^(1//3)+y^(1//3)=a^(1//3)(ag...

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  7. If the sum of the squares of the intercepts on the axes cut off by the...

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  8. If the tangent at the point (at^2,at^3) on the curve ay^2=x^3 meets th...

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  9. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again atpis

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  10. If the tengent at pto the curve xy=c^2 meets the axes at A,B and pdivi...

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  11. The area of the triangle formed by the tangent to the curve xy=a^2 at...

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  12. The area of the triangle formed by the tangent to the curve y=8//(4+x...

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  13. If delta is the area of the triangle formed by the positive x axis a...

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  14. If the tangent at theta=pi//4 to the curve x=acos^3theta,y=asin^3theta...

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  15. If the area of the triangle, included between the axes and any tangent...

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  16. The area of the triangle formed by the normal to the curve x=e^(siny) ...

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  17. The area of the triangle formed by the tangent and the normal at the p...

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  18. Area of the triangle formed by the tangent, normal to the curve x^2//a...

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  19. Area of the triangle formed by the tangent, normal at (1, 1) on the cu...

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  20. Area of the triangle formed by the tangent, normal at (a, a) on y(2a-x...

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