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A point P moves such that the chord of c...

A point `P` moves such that the chord of contact of the pair of tangents from `P` on the parabola `y^2=4a x` touches the rectangular hyperbola `x^2-y^2=c^2dot` Show that the locus of `P` is the ellipse `(x^2)/(c^2)+(y^2)/((2a)^2)=1.`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Find the locus of the point which is such that the chord of contact...

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

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  5. Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 whic...

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

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

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

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

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

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  14. A normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

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

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

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

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

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

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  20. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

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