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Statement 1: The normals at the points (...

Statement 1: The normals at the points (4, 4) and `(1/4,-1)` of the parabola `y^2=4x` are perpendicular. Statement 2: The tangents to the parabola at the end of a focal chord are perpendicular.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The area of the triangle formed by the tangent and the normal to the ...

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  2. Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at...

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  3. Statement 1: The normals at the points (4, 4) and (1/4,-1) of the para...

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  4. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

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  5. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  6. The equations of the common tangents to the parabola y = x^2 and y=-...

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  7. about to only mathematics

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  8. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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

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

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

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

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

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

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

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

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

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

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

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

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