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The area of the triangle formed by the t...

The area of the triangle formed by the tangent and the normal at the points `(a,a)` on the curve `y^2=x^3/(2a-x)` and the line `x=2a` is

A

`a^2//4`

B

`a^2//2`

C

`5a^2//4`

D

`9a^2//4`

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

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

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

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  10. The two curves y^2=4(x+1),y^2=36(9-x) at (8, 6)

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  11. The two curves y=(x+3)/(x^2+1),y=(x^2-7x+11)/(x-1) at (2, 1)

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  12. The two curves 2x^2+y^2=20,x^2-4y^2+8=0

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  13. The two curves x^2+y^2=25,2x^2-9y+18=0

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  14. The curves y=x^3-3x^2-8x-4,y=3x^2+7x+4 touch at the point (-1, 0). The...

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  15. The curves y=x^2-1,y=8x-x^2-9 touch each other at the point (2, 3). Th...

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  16. The angle between the curves y^2=4x and x^2=2y-3 at the point (1, 2) i...

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  17. The angle between the curves y^2=8x,x^2=4y-12 at (2, 4) is

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  18. The angle between the curves xy=4 and x^2-y^2=15 at the point (-4, -1)...

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  19. The angle between the curves y^2=4x+4 and y^2=36(9-x) is

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  20. The angle between curves y^2=4ax,ay=2x^2 is

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