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CHAPTER-11 CONIC SECTIONS

WORKSHEET

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1. The centre of the circle + − 4 + 6 = 12 is …
(a) (0,3) (b) (1,2) (c) (2,-3) (d) (1,3)
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2. The coordinates of the foci of the parabola = −16 is
(a) (0,4) (b) (0,-4) (c) (-4,0) (d) (4,0)
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3. The eccentricity of the ellipse 16 + 25 = 400 is
3 1 2 4
(a) (b) (c) (d)
5 5 5 5
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4. The equation of the directrix of the parabola = 6 is ………….
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5. The length of the latus rectum of the hyperabola 16 − 9 = 144 is………………………
6. Find the equation of circle passing through the points (4,1) and (6,5) and whose centre is
on the line 4x + y = 16
7. Find the equation of the circle passing through (0,0) and making intercepts a and b on
the coordinate axes.
8. Find the equation of parabola with vertex (0,0) passing through (2,3) and axis is along x-
axis.
9. Find the equation of parabola with Vertex (0,0), passing through (5,2) and symmetric
with respect to y-axis.
10. Find the equation of ellipse whose major axis on the x-axis and passes through the
points (4,3) and (6,2).

11. Find the coordinates of the foci, the vertices, the length of major axis, the minor axis,
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the eccentricity and the length of the latus rectum of the ellipse 16 + = 16
√11
12. Find the equation of the hyperbola with foci (0, ± 3) and vertices (0, ± )
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