The line x - 1 = 0 is the directrix of the parabola y2 - kx + 8 = 0. Then, one of the value of k is
8
4
If 5x - 12y + 10 = 0 and 12y - 5x + 16 = 0 are two tangents to a circle, then the radius of the circle is
1
2
4
6
The area of the smaller segment cut off from the circle x2 + y2 = 9 by x = 1 is
sq unit
None of the above
B.
sq unit
Given equation of the circle is x2 + y2 = 9.
Area of the smaller segment cut off from the circle x2 + y2 = 9 by x = 1, is given by
sq unit
An equilateral triangle is inscribed in the parabola y2 = 4ax, whose vertex is at the vertex of the parabola. The length of its side is
2a
4a
8a
The foci of a hyperbola are (- 5, 18) and (10, 20) and it touches the Y-axis. The length of its transverse axis is
100
The locus of mid-point of the line segment joining the locus to a moving point on the parabola y2 = 4ax is another parabola with directrix
x = - a
x = a
x = 0
x = a/2
The equation of the ellipse with its centre at (1, 2), one locus at (6, 2) and passing through (4, 6) is
None of the above