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Find the locus of a point P(alpha, beta)...

Find the locus of a point `P(alpha, beta)` moving under the condition that the line `y=ax+beta` is a tangent to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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