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Let C be a curve which is the locus of t...

Let `C` be a curve which is the locus of the point of intersection of lines `x=2+m` and `m y=4-mdot` A circle `s-=(x-2)^2+(y+1)^2=25` intersects the curve `C` at four points: `P ,Q ,R ,a n dS` . If `O` is center of the curve `C ,` then `O P^2+O P^2+O R^2+O S^2` is (a) `50` (b) `100` (c) `25` (d) `(25)/2`

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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION -I ( Subjective Type Questions )
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  8. Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0...

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  9. If the tangent at P to the parabola y^(2) =7x is parallel to 6y -x + 1...

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  10. Find the equation of common tangent of y^(2)=4axandx^(2)=4by.

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  11. The mirror image of the parabola y^(2)=4x in the tangent to the parabo...

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  12. Locus of the point of intersection of the tangents to (x^(2))/((73)^(2...

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  13. Find the equation of the circle passing through the points of intersec...

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  14. find the equation of parabola which is symmetric about y-axis,and pass...

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  15. Find the point on the curve 3x^2-4y^2=72 which is nearest to the line ...

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  16. The line passing through the extremity A of the major exis and extremi...

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  17. If the tangents and normal to an ellipse 9x^(2) + 16y^(2) = 144 at a p...

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  18. A chord of parabola y^2=4ax subtends a right angle at the vertex. Find...

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  19. Let PN be the ordinate of a point P on the hyperbola x^2/(97)^2-y^2...

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