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The locus of the point which is such tha...

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` forms a triangle of constant area with the coordinate axes is (a) straight line (b) a hyperbola (c) an ellipse (d) a circle

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Prove that the chord of contact of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  2. Find the locus of a point P(alpha, beta) moving under the condition th...

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  3. The locus of the point which is such that the chord of contact of ta...

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  4. A point P moves such that the chord of contact of the pair of tangents...

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  5. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

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  6. Find the equation of the chord of the hyperbola 25x^(2)-16y^(2)=400 wh...

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  7. The locus of the point which divides the double ordinates of the ell...

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  8. Find the locus of the middle points of chord of an ellipse x^2/a^2 + ...

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  9. Find the point on the hyperbola x^(2)-9y^(2)=9 where the line 5x+12y=9...

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  10. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

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  11. From any point P lying in the first quadrant on the ellipse (x^2)/(25)...

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  12. If any line perpendicular to the transverse axis cuts the hyperbola (x...

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  13. If the focal distance of an end of the minor axis of an ellipse (ref...

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  14. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

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  15. A normal to the hperbola (X^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

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  16. Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

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  17. The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and...

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  18. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

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  19. The coordinates of the vertices Ba n dC of a triangle A B C are (2, ...

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  20. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

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