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A line L : y = mx + 3 meets y-axis at E ...

A line L : y = mx + 3 meets y-axis at E (0, 3) and the arc of the parabola `y^2 = 16x` `0leyle6` at the point art `F(x_0,y_0)`. The tangent to the parabola at `F(X_0,Y_0)` intersects the y-axis at `G(0,y)`. The slope m of the line L is chosen such that the area of the triangle EFG has a local maximum P) m= Q) = Maximum area of `triangle EFG` is (R) `y_0=` (S) `y_1=`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

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

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  3. A line L : y = mx + 3 meets y-axis at E (0, 3) and the arc of the para...

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  4. Match the following. Normals are drawn at points P Q and R lying on th...

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  5. Tangents and normal drawn to the parabola y^2=4a x at point P(a t^2,2a...

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

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  7. Normal AO,AA(1),andAA(2) 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 ((u^2)/(...

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

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

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

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

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

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

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