If the slope of one lne is twice the slope of other in the pair of straight lines ax2 + 2hxy + by2 = 0, then 8h2 is equal to
- 9ab
9ab
- 7ab
7ab
If the extremities of diagonal of a square (1, - 2, 3), (2, - 3, 5), then the length of its side, is
The foot of the perpendicular from (0, 2, 3) to the line is
(- 2, 3, 4)
(2, - 1, 3)
(2, 3, - 1)
(3, 2, - 1)
C.
(2, 3, - 1)
If a line makes angle with the X-axis and Y-axis respectively, then the angle made by the line with the Z-axis is
The equation of the normal to the circle x2 + y2 + 6x + 4y - 3 = 0 at (1, - 2) is
y + 1 = 0
y + 2 = 0
y + 3 = 0
y - 2 = 0
The limiting points of the co-axial system containing the two circles x2 + y2 + 2x - 2y + 2 = 0 and 25(x2 + y) - 10x - 80y + 65 = 0 are
(1, - 1), (- 3, - 40)
The radical axis of circles x2 + y2 + 5x + 4y - 5 = 0 and x2 + y2 - 3x + 5y - 6 = 0 is
8y - x + 1 = 0
8x - y+ 1 = 0
8x - 8y + 1 = 0
y - 8x + 1 = 0
If the polar of a point on the circle x2 + y2 = p2 with respect to the circle x2 + y2 = q2 touches the circle x2 + y2 = r, then p, q, r are in
AP
GP
HP
AGP
If the normal to the parabola y2 = 4x at P(1, 2) meets the parabola again in Q, then coordinates of Q are
(- 6, 9)
(9, - 6)
(- 9, - 6)
(- 6, - 9)