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The area of the triangle formed by the t...

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 (a) `2sqrt(2)a^2` (b) `2a^2` `4a^2` (d) none of these

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CENGAGE PUBLICATION-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 paranola y^(2)=4ax 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. Let A and B two distinct points on the parabola y^(2)=4x. If the axis ...

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

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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 dra...

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

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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 midpoint of the focal distance of a v...

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  15. A quadrilateral is inscribed in a parabola. Then

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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) interse...

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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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