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Conic Sections ...

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  • Question 1
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    The radius of the circle passing through the foci of the ellipse   and having its centre at (0, 3) is

  • Question 2
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    The line y = c is a tangent to the parabola 7/2  if c is equal to

  • Question 3
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    The equation  2x2 +3y2 −8x −18y+35 = λRepresents

  • Question 4
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    The locus of a variable point whose distance from the point (2, 0) is  2/3  times its distance from the line x = 9/2  is

  • Question 5
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    The axis of the parabola  9y2 −16x −12y −57 = 0 is

  • Question 6
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    A and B are two distinct points, Locus of a point P satisfying  |PA| + |PB| = 2k, a constant is

  • Question 7
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    The eccentricity of the hyperbola  x2 −y2 = 9 is

  • Question 8
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    Locus of the point of intersection of the lines x = sec  θ+ tan  θ and y = sec  θ –tan  θ is

  • Question 9
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    The line y = m x + c, touches the parabola  y2 = 4ax if

  • Question 10
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    The equations  x = at2 , y = 4at ; t ∈R  represent

  • Question 11
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     t  ∈R represents

  • Question 12
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    The vertex of the parabola  y2  = 4a(x −a) is

  • Question 13
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    The two parabolas  x2  = 4y and  y2  = 4x meet in two distinct points. One of these is the origin and the other is

  • Question 14
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    The equation of the directrix of the parabola  x2  = −4ay is

  • Question 15
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    The eccentricity ‘e ’of a parabola is

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