`RA and RB` are perpendiculars from R to the lines `y = 3x and y = 2x`, respectively. If R moves on line `2x + 3y = 6`, then the locus of midpoint of AB is

The lines 2x+y=3 and 4x+2y= 6 are

A variable straight line passes through the points of intersection of the lines x+2y=1 and 2x-y=1 and meets the co-ordinates axes in A and B. Prove that the locus of the midpoint Of AB is 10xy=x+3y.

If a line with y-intercept 2, is perpendicular to the line 3x -2y =6, then its x-intercept is

Let A(2,-3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x+3y=1, then the locus of the vertex C is the line 2x+3y=92x-3y=73x+2y=53x-2y=3

Let AB be a line segment of length 4 with A on the line y = 2x and B on the line y = x . The locus of the middle point of the line segment is

Let AB be a line segment of length 4 with A on the line y = 2x and B on the line y = x . The locus of the middle point of the line segment is

Let AB be a line segment of length 4 with A on the line y = 2x and B on the line y = x . The locus of the middle point of the line segment is

The image of P(a,b) on the line y=-x is Q and the image of Q on the line y=x is R . then the midpoint of PR is

Prove that the lines 2x+3y=19 and 2x+3y+7=0 are equidistant from the line 2x+3y=6 .

Prove that the lines 2x+3y=19 and 2x+3y+7=0 are equidistant from the line 2x+3y=6 .