If (-2,6) is the image of the point (4,2) with respect to line L=0, then L is:

Find the image of the point (4,-13) in the line 5x+y+6=0.

The image of the point (2,3) in the line y = -x is

Let the curve C be the mirror image of the parabola y^2 = 4x with respect to the line x+y+4=0 . If A and B are the points of intersection of C with the line y=-5 , then the distance between A and B is

Assuming that straight lines work as the plane mirror for a point, find the image of the point (1, 2) in the line x - 3y + 4 = 0 .

The image of the point (2, 3) in the line y = -x is .....................

Let l be the line belonging to the family of straight lines (a + 2b)x+ (a - 3b)y +a-8b = 0, a, b in R , which is farthest from the point (2, 2), then area enclosed by the line L and the coordinate axes is

Let L be the line belonging to the family of straight lines (a+2b) x+(a-3b)y+a-8b =0, a, b in R, which is the farthest from the point (2, 2). If L is concurrent with the lines x-2y+1=0 and 3x-4y+ lambda=0 , then the value of lambda is

Let a given line L_1 intersect the X and Y axes at P and Q respectively. Let another line L_2 perpendicular to L_1 cut the X and Y-axes at Rand S, respectively. Show that the locus of the point of intersection of the line PS and QR is a circle passing through the origin

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then -1 1 m in R (d) none of these