Te area (m sq units) of the region bounded by x = -1, x = 2, y = x2 + 1 and y = 2x - 2 is
10
7
8
9
The sum of the minimum and maximum distance of the point (4, - 3) to the circle x2 + y2 + 4x - 10y - 7 = 0, is
10
12
16
20
The locus of centres of the circles, which cut the circles x2 + y2 + 4x - 6y + 9 and x2 + y2 - 5x + 4y + 2 = 0 orthogonally, is
3x + 4y - 5 = 0
9x - 10y + 7 = 0
9x + 10y - 7 = 0
9x - 10y + 11 = 0
If x - y + 1 = 0 meets the circle x2 + y2 + y - 1 = 0 at A and B, then the equation of the circle with AB as diameter is
2(x2 + y2) + 3x - y + 1 = 0
2(x2 + y2) + 3x - y + 2 = 0
2(x2 + y2) + 3x - y + 3 = 0
x2 + y2 + 3x - y + 4 = 0
An equilateral triangle is inscribed in the parabola y2 = Bx, with one of its vertices is the vertex of the parabola. Then, length of the side of that triangle is
units
The point (3, 4) is the focus and 2x - 3y + 5 = 0 is the directrix of a parabola. Its latus rectum is
The radius of the circle passing through the foci of the ellipse and having its centre at (0, 3) is
6
4
3
2
B.
4
The equation of the circle passing through (2, 0) and (0, 4) and having the minimum radius, is
x2 + y2 = 20
x2 + y2 - 2x - 4y = 0
x2 + y2 = 4
x2 + y2 = 16