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The equation of the common tangent to the curves y2=8x and xy=-1, is

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Important Questions on Conic Section

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 1
Find the equation of the parabola with vertex at the origin and focus at (0,-3).
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 2
Find the co-ordinates of the foci and the vertices of the ellipse x2+4y2=16.
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 3
If 20x2-4y2=80 represents the equation of a hyperbola, then find the length of its latus rectum.
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 4
Find the length of the latus rectum of the parabola x2=-16y.
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 5
If x264+y236=1 represents the equation of an ellipse, then find the distance between its foci.
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 6
Find the equation of the hyperbola with y-axis as its transverse axis whose length is 4 units and the length of conjugate axis as 6 units.
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 7
The length of the semi-minor axis of an ellipse with x-axis as the major axis is 3 units and the distance of the foci from the centre is 25. Find the equation of the ellipse.
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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 8
If the equation of the parabola is x2=24y, then find the co-ordinates of the focus and the length of the latus rectum.