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Conic Sections ...

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  • Question 1
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    The eccentricity of the hyperbola whose latus-return is $$8$$ and length of the conjugate axis is equal to half the distance between the foci, is

  • Question 2
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    The graph of curve 
    $${x^2} + {y^2} - 8x - 8y + 32 = 0$$ falls wholly in the

  • Question 3
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    If foci are points $$(0,1)(0,-1)$$ and minor axis is of length $$1$$, then equation of ellipse is

  • Question 4
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    If a be the radius of a circle which touches x-axis at the origin, then its equation is

  • Question 5
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    The centre of the circle $$(x-a)(x-b)+(y-c)(y-c)=0$$ is 

  • Question 6
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    If the vertex $$= (2, 0)$$ and the extremities of the latus rectum are $$(3, 2)$$ and $$(3, -2)$$, then the equation of the parabola is 

  • Question 7
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    Equation of the circle with centre on the $$y-$$axis and passing through the origin and the point $$(2,3)$$ is

  • Question 8
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    The ellipse $$\dfrac{{{x^2}}}{{{a^2}}} + \dfrac{{{y^2}}}{{{b^2}}} = 1$$ cuts x axis at A and y axis at B and the line joining the focus S and B makes an angle $$\dfrac{{3\pi }}{4}$$ with x-axis. Then the eccentricity of the ellipse is 

  • Question 9
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    If $$(4,3)$$ and $$(-12,-1)$$ are end points of a diameter of a circle, then the equation of the circle is-

  • Question 10
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    Axis of a parabola is $$y=x$$ and vertex and focus are at a distance $$\sqrt{2}$$ and $$2\sqrt{2}$$ respectively from the origin. The equation of the parabola is 

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