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The area of the triangle formed by the tangent and the normal to the parabola `y^2=4a x ,` both drawn at the same end of the latus rectum, and the axis of the parabola is `2sqrt(2)a^2` (b) `2a^2` `4a^2` (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If y=m x+c touches the parabola y^2=4a(x+a), then (a)c=a/m (b) c=a m...

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  2. The angle between the tangents to the parabola y^2=4a x at the points ...

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  3. The area of the triangle formed by the tangent and the normal to the ...

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

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

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

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

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

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  9. about to only mathematics

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

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

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

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

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

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

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

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

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

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

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

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