The equation of the pair of lines joining the origin to the points of intersection of x2 + y2 = 9 and x + y = 3, is
xy = 0
Let L be the line joining the origin to the point of intersection of the lines represented by 2x - 3xy - 2y + 10x + 5y = 0. If L is perpendicular to the line kx + y + 3 = 0, then k is equal to
- 1
A circle S = 0 with radius touches the line x + y - z = 0 at(1, 1). Then, the length of the tangent drawn from the point(1, 2) to S = 0 is
1
2
2
The normal drawn at P(- 1, 2) on the circle x2 + y2 - 2x - 2y - 3 = 0 meets the circle at another point Q. Then the coordinates of Q are
(3, 0)
( - 3, 0)
(2, 0)
( - 2, 0)
A.
(3, 0)
Centre of circle = (1, 1)
Since, PQ is normal to circle.
:. PQ is diameter of circle and O is the mid-point of PQ
If the lines kx + 2y - 4 = 0 and 5x - 2y - 4 = 0 are conjugate with respect to the circle x2 + y2 - 2x - 2y - 1 = 0, then k is equal to
0
1
2
3
The angle between the, tangents drawn from the origin to the circle x2 + y2 + 4x - 6y + 4 = 0 is
If the angle between the circles x2 + y2 - 2x - 4y + c = 0 and x2 + y2 - 4x - 2y + 4 = 0 is 60°, then c is equal to
If (x1, y1) and (x2, y2) are the end points of a focal chord of the parabola y2 = 5x, then 4x1x2 + y1y2, is equal to
25
5
0