The circle passing through the intersection of the circles, x2 + y2 – 6x = 0 and x2 + y2 – 4y = 0, having its centre on the line, 2x – 3y + 12 = 0, also passes through the point :
( - 3, 6)
( - 3, 1)
If the common tangent to the parabolas, y2 = 4x and x2 = 4y also touches the circle, x2 + y2 = c2, then c is equal to :
If the co–ordinates of two points A and B are respectively and P is any point on the conic, 9x2 + 16y2 = 144, then PA + PB is equal to :
8
16
9
6
If the line y = mx + c is a common tangent to the hyperbola
4c2 = 369
5m = 4
c2 = 369
8m + 5 = 0
If the normal at an end of latus rectum of an ellipse passes through an extremity of the minor axis, the eccentricity e of the ellipse satisfies :
The centre of the circle passing through the point (0, 1) and touching the parabola y = x2 at the point (2, 4) is: