Straight Line a...

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

The point P is the intersection of the straight line joining the points Q(2,3,5) and P(1,–1,4) with the plane 5x – 4y – z = 1. If S is the foot of the perpendicular drawn from the point T(2,1,4) to QR, then the length of the line segment PS is

The triangle formed by the lines x + y – 4 = 0, 3x + y = 4, x + 3y = 4 is

The area of a parallelogram formed by the lines ax ± by ± c = 0, is

A point moves so that square of its distance from the point (3,-2) is numerically equal to its distance from the line 5x – 12y = 13. The equation of the locus of the point is

Locus of the points which are at equal distance from 3x + 4y – 11 = 0 and 12x + 5y + 2 = 0 and which is near the origin is

A point moves such that its distance from the point (4,0) is half that of its distance from the line x = 16. The locus of this point is

If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is