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Prove that if any tangent to the ellipse...

Prove that if any tangent to the ellipse is cut by the tangents at the endpoints of the major axis at `Ta n dT '` , then the circle whose diameter is `T T '` will pass through the foci of the ellipse.

A

foci

B

origin

C

vertex

D

None of these

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A
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VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 2
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  2. PA and PB are tangents drawn from a point P to the ellipse (x^2)/(a^2)...

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  3. Prove that if any tangent to the ellipse is cut by the tangents at the...

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  4. If the polar with respect to y^2 = 4ax touches the ellipse x^2/alpha^2...

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  5. The locus of a point from which the two tangents to the ellipse are in...

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  6. The normal at a variable point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2...

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  7. If the tangent drawn at point (t^2,2t) on the parabola y^2=4x is the s...

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  8. If PSQ is a focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/...

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  9. For the hyperbola (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, the normal at poi...

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  10. CP and CD are conjugate diameters of ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

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  11. If C is the center and A ,B are two points on the conic 4x^2+9y^...

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  12. Variable ellipses are drawn with x= -4 as a directrix and origin as co...

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  13. An endless inextensible string of length 15 m passes around two pins, ...

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  14. Let set S consists of all the points (x, y) satisfying 16x^2+25y^2 le ...

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  15. The value of a for the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), if t...

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  16. Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is...

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  17. PQ is a double ordinate of the ellipse x^2+9y^2 =9, the normal at P m...

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  18. Find the area of the triangle formed by the lines y-x=0, x+y=0 and x-k...

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  19. If the tangent at point P(h, k) on the hyperbola (x^(2))/(a^(2))-(y^(2...

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  20. If the tangent drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at any...

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