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If the area of the triangle, included be...

If the area of the triangle, included between the axes and any tangent to the curve `xy^n=a^(n+1)` is constant, then the vlue of n is

A

-1

B

-2

C

1

D

2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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