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The equations of the common tangents to the parabola `y = x^2 and y=-(x-2)^2` is/are :

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Statement 1: The normals at the points (4, 4) and (1/4,-1) of the para...

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

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

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

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

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

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  7. The point of intersection of the tangents of the parabola y^(2)=4x dra...

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

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

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  10. The locus of the midpoint of the midpoint of the focal distance of a v...

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  11. A quadrilateral is inscribed in a parabola. Then

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

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

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

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

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

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

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

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

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

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