Let the points A lies on `3x-4y+1=0`, the point B lines on 4 x + 3 y - 7 = 0 and the point C is (-2,5) . If ABCD is a rhombus , then the locus of D is

Let A lies on 3x-4y+1=0 , B lies on 4x+3y-7=0 and C is (-2, 5) . If ABCD is a rhombus, then the locus of D is a conic whose length of the latus rectum is equal to

Let A lies on 3x-4y+1=0 , B lies on 4x+3y-7=0 and C is (-2, 5) . If ABCD is a rhombus, then the locus of D is a conic whose length of the latus rectum is equal to

If the point of intersection of kx+4y+2=0, x-3y+5=0 lies on 2x+7y-3=0 then k =

Let A(-2,-1),B(1,0),C(alpha,beta) and D(gamma,delta) be the vertices of a parallelogram ABCD .If the point C lies on 2x-y=5 and the point D lies on 3x-2y=6 ,then the value of |alpha+beta+gamma+delta| is equal to:

The image of the point (3, 5) in the line x -y + 1 = 0 , lies on :

The equation of the line joining the point {3, 5) to the point of intersection of the lines 4x + y - 1 = 0 and 7x - 3y - 35 = 0 is equidistant from the points (0,0) and (8,34) .

The image of the point (3,5) in line x-y+1=0 lies on

A line 4x + y = 1 passes through the point A (2,-7) meets the line BC whose equation is 3x-4y + 1 =0,at the point B. If AB = AC, find the equation of AC.

The coordinates of the point of intersection of the lines 3x+4y-18=0 and 4x-5y+7=0 are

If the point (3, 4) lies on the locus of the point of intersection of the lines x cos alpha + y sin alpha =a and x sin alpha - y cos alpha =b ( alpha is a variable), the point (a, b) lies on the line 3x-4y=0 then (a^(2)-b^(2))/2 is equal to