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Consider the parabola y^2 = 8x. Let Delt...

Consider the parabola `y^2 = 8x.` Let `Delta_1` be the area of the triangle formed by the end points of its latus rectum and the point P(`1/2`,2) on the parabola and `Delta_2` be the area of the triangle formed by drawing tangents at P and at the end points of latus rectum. `Delta_1/Delta_2` is :

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let the curve C be the mirror image of the parabola y^2 = 4x with resp...

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  2. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

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  3. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

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  4. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  5. Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...

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

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  7. Normals A O ,A A1a n dA A2 are drawn to the parabola y^2=8x from the p...

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

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  9. The length of the latus rectum of the parabola whose focus is a. ((u...

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  10. If parabolas y^(2)=lamdaxand25[(x-3)^(2)+(y+2)^(2)]=(3x-4y-2)^(2) are ...

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  11. If normal to parabola y^(2)=4ax at point P(at^(2),2at) intersects the ...

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

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

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

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

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

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

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  18. Prove that for a suitable point P on the axis of the parabola y^(2)=4a...

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  19. Two parabola have the same focus. If their directrices are the x-and t...

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  20. The number of common chord of the parabolas x=y^(2)-6y+11andy=x^(2)-6x...

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