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If the curves x^2/a^2+y^2/b^2=1 and x^2/...

If the curves `x^2/a^2+y^2/b^2=1` and `x^2/25+y^2/16=1` cut each other orthagonally, then `a^2-b^2`=

A

400

B

75

C

41

D

9

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The curves ax^2+by^2=1 and Ax^2+By^2=1 intersect orthogonally, then

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  2. If the curves x^2+py^2=1 and qx^2+y^2=1 are orthogonal to eeach other,...

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  3. If the curves x^2/a^2+y^2/b^2=1 and x^2/25+y^2/16=1 cut each other ort...

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  4. If the curves x^2/a^2+y^2/b^2=1 and x^2/l^2-y^2/m^2=1 cut each other o...

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  5. The curves x^2/(a^2+k1)+y^2/(b^2+k1)=1 and x^2/(a^2+k2)+y^2/(b^2+k2)=1...

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  6. If the curves y^2=6x,9x^2+by^2=16, cut each other at right angles then...

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  7. Angle between then tangents to the curve y=x^2-5x+6 at the points (2, ...

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  8. The length of the tangent of the curve y=x^3+1 at (1, 2) is

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  9. The length of the tangent of the curve y^2=x^3/(2a-x) at (a, a) is

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  10. The length of the tangent of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

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  11. The length of the tangent of the curve x=acos^3theta,y=asin^3theta(a>0...

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  12. The length of the normal to the curve y=x^2+1 at (1, 2) is

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  13. The length of the normal to the curve y=c cos ((hx)/c) at any point is

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  14. The length of the normal to the curve y^2=x^3/(2a-x) at (a,a) is

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  15. The length of the normal of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

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  16. The length of the normal to the curves x=acos^3theta,y=asin^3theta(agt...

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  17. The length of the normal at pon the curve x=a(t+sint),y=a(1-cost) is

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  18. The length of the normal to the curve y=a((e^(-x//a)+e^(x//a))/2) at a...

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  19. The length of subtangent to y=be^(x//a) at any point is

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  20. The length of the subtangent at any point (x1,y1) on the curve y=5^x i...

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