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Conic Sections ...

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  • Question 1
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    The length of the latus rectum of the parabola  $$4 y ^ { 2 } + 2 x - 20 y + 17 = 0$$  is

  • Question 2
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    The distance from the foci of P(a,b) on the ellipse $$\frac{x^{2}}{9}+\frac{y^{2}}{25}=1$$ are

  • Question 3
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    The length of the latus rectum of the parabola $${ y }^{ 2 }-4x+4y+8=0\quad is$$

  • Question 4
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    The equation of circles passing through (3,-6) touching both the axes is 

  • Question 5
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    If $$a\neq b$$ the parametric equations $$x=a(cos \Theta +sin \Theta ),y=b(cos\Theta -sin\Theta )$$ represents

  • Question 6
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    The eccentricity of  the hyperbola $$x^{2}-3y^{2}+1=0$$  is 

  • Question 7
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    A common tangent to the conics $${ x }^{ 2 }=6y$$ and $$2{ x }^{ 2 }-4{ y }^{ 2 }=9$$, is __________.

  • Question 8
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    If the centroid of an equilateral triangle is (1,1) and one of its vertices is (-1,2) then, equation of its circum circle is 

  • Question 9
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    The eccentricity of an ellipse, with its centre at the origin, is$$\frac{1}{2}$$. If one of the directrices is x = 4, then the equation of the ellipse is

  • Question 10
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    Angle between the parabola $$y^{2} = 4b(x - 2a + b)$$ and $$x^{2} + 4a(y - 2b - a) = 0$$ at the common end of their latus rectum, is

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