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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 ENGLISH-CONIC SECTIONS-All Questions
  1. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

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

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

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  4. about to only mathematics

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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