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Tangent at any point of the curve (x/a)^...

Tangent at any point of the curve `(x/a)^(2//3)+(y/b)^(2//3)=1` makes intercepts `x_1` and `y_1` on the axes. Then

A

`(x_1/a)^(2//3)+(y_1/b)^(2//3)=1`

B

`x_1^2/a^2+y_1^2/b^2=1`

C

`x_1^3/a^3+y_1^3/b^3=1`

D

none

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The portion of the tangent drawn at any point on x^(2//3)+y^(2//3)=a^(...

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  2. The tangent at theta=pi//4 to the curve x=acos^3theta,y=asin^3theta me...

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  3. Tangent at any point of the curve (x/a)^(2//3)+(y/b)^(2//3)=1 makes in...

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  4. The sum of the intercepts on the coordinate axes of any tangent to sqr...

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  5. IF the tangent at any point P on the curve x^my^n=a^(m+n), mn ne 0 mee...

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  6. The tangent at any point f the curve x=at^3,y=at^4 divides the absciss...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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