Self Studies

Conic Sections ...

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  • Question 1
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    The equation of the circle, the end points of whose diameter are the centre of the circles $$x^{2}+y^{2}+6x-14y=1$$ and $$x^{2}+y^{2}-4x+10y=2$$ is 

  • Question 2
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    The equation of a circle with centre at $$(2,-3)$$ and the circumference is $$10 \pi$$ units is 

  • Question 3
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    Equation having circle centre $$(5, 2)$$ and which passes through the point $$(1, -1)$$ is 

  • Question 4
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    Equation of circle touching the line $$x + y = 4$$ at $$( 1, 3)$$ and intersecting the circle $${ x }^{ 2 }+{ y }^{ 2 }=4$$ orthogonally is

  • Question 5
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    The parametric equation of the circle $$x^{2}+y^{2}+x+\sqrt {3}y=0$$ are

  • Question 6
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    The equation $$\sqrt{(x-3)^{2}+(y-1)^{2}}+\sqrt{(x-3)^{2}+(y-1)^{2}}=6$$ represents : 

  • Question 7
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    If the line $$x-1=0$$ is the directrix of the parabola $${ y }^{ 2 }-kx+8=0$$, then one of the values of $$k$$ is 

  • Question 8
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    The equation of the circle with centre at $$(4, 3)$$ and touching the line $$5x-12y-10=0$$ is?

  • Question 9
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    The Vertex of the parabola $$y^{2} - 10y + x + 22=0$$ is.

  • Question 10
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    The equation of the latus rectum of the parabola $$x^2 + 4x + 2y = 0$$ is-

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