NCERT Class 11-Math's: Exemplar Chapter –11 Conic Sections Part 8
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Question 9:
If the line touches the circle , then find the value of .
[Hint: Equate perpendicular distance from the centre of the circle to its radius].
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Question 10:
Find the equation of a circle concentric with the circle and has double of its area.
[Hint: concentric circles have the same centre.]
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Question 11:
If the latus rectum of an ellipse is equal to half of minor axis, then find its eccentricity
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Question 12:
Given the ellipse with equation , find the eccentricity and foci.
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Question 13:
If the eccentricity of an ellipse is and the distance between its foci is 10, then find latus rectum of the ellipse.
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Question 14:
Find the equation of ellipse whose eccentricity is , latus rectum is 5 and the centre is .
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Question 15:
Find the distance between the directrices of the ellipse .
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Question 16:
Find the coordinates of a point on the parabola whose focal distance is .
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Question 17:
Find the length of the line-segment joining the vertex of the parabola and a point on the parabola where the line-segment makes an angle to the .
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Question 18:
If the points and are respectively the vertex and focus of a parabola, then find the equation of the parabola.
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Question 19:
If the line is tangent to the parabola then find the value of .
[Hint: Solving the equation of line and parabola, we obtain a quadratic equation and then apply the tangency condition giving the value of ].
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Question 20:
If the distance between the foci of a hyperbola is and its eccentricity is , then obtain the equation of the hyperbola.
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Question 21:
Find the eccentricity of the hyperbola .
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Question 22:
Find the equation of the hyperbola with eccentricity and foci at .
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