CBSE Guess > Papers > Important Questions > Class XI > 2010 > Maths > Maths By Mr. Anil Kumar Tondak
CBSE CLASS XI
**Conic Sections**
**Q.1.** Find the centre and radius of the circle
2x2 + 2y2 –x = 0.
**Q.2. **Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3).
**Q.3. **Find the equation of the circle passing through the points (2,3) and (–1,1) and whose centre is on the line *x *– 3*y *– 11 = 0.
**Q.4. **Find the equation of the circle passing through (0,0) and making intercepts *a *and *b *on the coordinate axes.
**Q.5. **Find the equation of the parabola with vertex at (0, 0) and focus at (0, 2).
**Q.6 **. Find the equation of the parabola with focus (2,0) and directrix *x *= – 2.
**Q.7.** Find the equation of the parabola which is symmetric about y-axis and passes through the point (2, -3).
**Q.8.** Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse :
**Q.9. **Find the co-ordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x2 + 4y2 = 36.
**Q.10. **Find the equation of the ellipse with major axis along the x-axis and passing through the points (4, 3) and (-1, 4).
**Q.11.** Find the equation of the ellipse, whose length of the major axis is 20 and foci are (0, ± 5).
**Q12.** Find the coordinates of the foci and the vertices, the eccentricity,the length of the latus rectum of the hyperbolas:
(i)
(ii) y2 – 16x2 = 1
**Q.13.** Find the equation of the hyperbola with foci (0, 3) and vertices (0, ).
**Q.14. **Find the equation of the hyperbola with vertices (7,0) and e = 4/3.
**Q.15.** Find the equation of the hyperbola where foci are (0, ±12) and the length of the latus rectum is 36.
**Q.16**. A beam is supported at its ends by supports which are 12 metres apart. Since the load is concentrated at its centre, there is a deflection of 3 cm at the centre and the deflected is in the shape of a parabola. How far from the centre is the deflection 1 cm.
Paper By Mr. Anil Kumar Tondak
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