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Prove that in an ellipse, the perpendicu...

Prove that in an ellipse, the perpendicular from a focus upon any tangent and the line joining the centre of the ellipse to the point of contact meet on the corresponding directrix.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the normal at P(theta) on the hyperbola (x^2)/(a^2)-(y^2)/(2a^2)=1 ...

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  2. The eccentricity of the hyperbola whose length of the latus rectum is ...

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  3. Prove that in an ellipse, the perpendicular from a focus upon any tang...

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  4. Find the asymptotes of the curve xy-3y-2x=0.

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  5. With one focus of the hyperbola x^2/9-y^2/16=1 as the centre, a circle...

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  6. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

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  7. Two circles are given such that they neither intersect nor touch. Then...

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  8. lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 ...

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  9. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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  10. If A ,B ,a n dC are three points on the hyperbola x y=c^2 such that A ...

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  11. Statement 1 : If (3, 4) is a point on a hyperbola having foci (3, 0...

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  12. Find the co-ordinates of all the points P on the ellipse, x^2/a^2+y^2/...

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  13. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

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  14. Statement 1 : If from any point P(x1, y1) on the hyperbola (x^2)/(a^2)...

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  15. Consider the family ol circles x^2+y^2=r^2, 2 < r < 5 . If in the fir...

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  16. Prove that the locus of the point of intersection of the tangents at t...

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  17. If a point (x1,y1) lies in the shaded region (x^2)/(a^2)-(y^2)/(b^2)=1...

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  18. Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and le...

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  19. Statement 1 : If a circle S=0 intersects a hyperbola x y=4 at four poi...

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  20. Find the coordinates of the foci  and the centre of the hyperbola ((...

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