In this set of MCQs, we shall learn the basics and study some other curves, viz., circles, ellipses, parabolas, and hyperbolas. We will also see how the intersection of a plane with a double-napped right circular cone results in different types of curves.
Find the equation of circle with center at origin and radius 5 units.
Find the equation of circle with center at (2, 5) and radius 5 units.
Find the center of the circle with equation x2+y2-4x-10y+4=0.
Find the radius of the circle with equation x2+y2-4x-10y+4=0.
Find the equation of circle which pass through (5, 9) and center at (2, 5).
At what point of the parabola x² = 9y is the abscissa three times that of ordinate,
(1, 1)
(3, 1)
(-3, 1)
(-3, -3)
In an ellipse, the distance between its foci is 6 and its minor axis is 8 then, its eccentricity is
4/5
1/√52
3/5
1/2
The number of tangents that can be drawn from (1, 2) to x² + y² = 5 is,
0
1
2
More than 2
The perpendicular distance from the point (3, -4) to the line 3x – 4y + 10 = 0 is,
7
8
9
10
The parametric coordinate of any point of the parabola y² = 4ax is,
(-at², -2at)
(-at², 2at)
(a sin²t, -2a sin t)
(a sin t, -2a sin t)