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If two distinct chords of a parabola `y^2=4ax` , passing through (a,2a) are bisected by the line x+y=1 ,then length of latus rectum can be a) 2 b) 7 c) 4 d) 5

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  2. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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  3. If two distinct chords of a parabola y^2=4ax , passing through (a,2a) ...

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  4. The point of intersection of the tangents of the parabola y^2=4x drawn...

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  5. Which of the following line can be normal to parabola y^2=12 x ? (a)x...

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  6. Which of the following line can be tangent to the parabola y^2=8x ? (...

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  7. The locus of the midpoint of the focal distance of a variable point ...

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  8. A quadrilateral is inscribed in a parabola. Then (a)the quadrilateral ...

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  9. A normal drawn to the parabola y^2=4a x meets the curve again at Q suc...

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  10. The parabola y^2=4x and the circle having its center at (6, 5) inters...

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  11. The extremities of latus rectum of a parabola are (1, 1) and (1,-1) . ...

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  12. If y=2 is the directrix and (0,1) is the vertex of the parabola x^2+la...

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  13. Through the vertex 'O' of parabola y^2=4x, chords OP and OQ are drawn...

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  14. If two chords drawn from the point A(4,4) to the parabola x^2=4y are b...

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  15. Statement 1: If the endpoints of two normal chords A Ba n dC D (normal...

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  16. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

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

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  18. Two straight lines are perpendicular to each other. One of them touche...

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  19. If the tangents and normals at the extremities of a focal chord of a ...

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  20. Radius of the circle that passes through the origin and touches the ...

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