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Normal AO,AA(1),andAA(2) are drawn to th...

Normal `AO,AA_(1),andAA_(2)` are drawn to the parabola `y^(2)=8x` from the point A(h,0). If triangle `OA_(1)A_(2)` is equilateral, then possible value of h is

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Tangents and normal drawn to the parabola y^2=4a x at point P(a t^2,2a...

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  2. If the normals to the parabola y^2=4a x at three points (a p^2,2a p) a...

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  3. Normal AO,AA(1),andAA(2) are drawn to the parabola y^(2)=8x from the p...

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  4. If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is ...

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  5. The length of the latus rectum of the parabola whose focus is ((u^2)/(...

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  6. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

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  7. The normal at the point P(ap^2, 2ap) meets the parabola y^2= 4ax again...

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  8. The set of points on the axis of the parabola y^2=4x+8 from which the ...

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  9. Which one of the following equation represent parametric equation to a...

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  10. The vertex of a parabola is the point (a , b) and the latus rectum is ...

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  11. The curve represented by the equation sqrt(p x)+sqrt(q y)=1 where p ,q...

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  12. Prove that the equation of the parabola whose focus is (0, 0) and tang...

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  13. A parabola is drawn touching the axis of x at the origin and having it...

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  14. The equation of the parabola whose vertex and focus lie on the axis of...

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  15. Prove that for a suitable point P on the axis of the parabola, chord A...

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  16. Two parabolas have the same focus. If their directrices are the x- and...

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  17. The number of common chords of the parabolas x=y^2-6y+11 and y=x^2-6x+...

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  18. Find the equation of the curve whose parametric equations are x=1+4c...

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  19. Prove that any point on the ellipse whose foci are (-1,0) and (7,0)...

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  20. Find the eccentric angle of a point on the ellipse (x^2)/6+(y^2)/2=...

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