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If the tangent at any point on the curve...

If the tangent at any point on the curve `x^(1//3)+y^(1//3)=a^(1//3)(agt0)` cuts of intercepts p and q on the coordinate axes then `sqrt(p)+sqrt(q)` =

A

`sqrt(a)`

B

`root(3)(a)`

C

`2sqrt(a)`

D

`2root(3)(a)`

Text Solution

Verified by Experts

The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
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  3. If the tangent at any point on the curve x^(1//3)+y^(1//3)=a^(1//3)(ag...

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The point on the intersection of the tangents drawn to the curve x^2y=...

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  19. The two curves y=x^2+1,y=3x^2-4x+3 at (1,2)

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  20. The two curves y=x^-3,y=e^(3(1-x)) at (1,1)

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