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Conic Sections ...

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  • Question 1
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    equation of latus rectum of the parabola $${ y }^{ 2 }-16x-6y+1=0$$ is

  • Question 2
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    The latus rectum of a parabola whose directrix is x + y- 2 =0 and focus is (3, -4) is 

  • Question 3
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    The equation  $$\dfrac { { x }^{ 2 } }{ 12-a } +\dfrac { { y }^{ 2 } }{ 4-a } =1$$ represent an ellipse, if:

  • Question 4
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    The y-axis is the directrix of the ellipse with eccentricity e=1/2 and the corresponding focus is at (3, 0), equation to its auxilary circle is

  • Question 5
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    If e,e' be the eccentricities of two conics S and S' and if $$e^2+e^{,2}=3$$, then bothe S and S'

  • Question 6
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    If the circle describe on the line joining the points (0, 1) and $$(\alpha ,\beta )$$ as diameter cuts the x-axis in points whose abscissae are roots of equation $$x^2-x+3=0$$ the $$(\alpha ,\beta )$$

  • Question 7
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    The equation of the ellipse with axes along the x-axis and the y-axis, which passes through the points P(4, 3) and Q (6, 2) is

  • Question 8
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    The latus rectum of a parabola whose focal chord is PSQ such that SP=3 and SQ=2 is given by 

  • Question 9
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    The equation of a circle with origin as a centre and passing through equilateral whose median is of length 3a is

  • Question 10
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    If the parabola $${ y }^{ 2 }=4ax$$ passes through (2,6) then the equation of the latusrectum is 

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