[" Example "25" Show that the path of a moving point such that its distances from two "],[" lines "3x-2y=5" and "3x+2y=5" are equal is a straight line."]

Show that the path of a moving point such that its distances from two lines 3xquad -2y=5 and 3x+2y=5 are equal is a straight line.

Show that the path of a moving point such that its distance from two lines 3 x-2 y=5 and 3 x+2 y=5 are equal is a straight line.

Show that the path of a moving point such that its distance from the lines : 3x- 2y = 5 and 3x + 2y =5 are equal, is a straight line.

Prove that the locus of a moving point, which is equidistant from the lines 3x-2y=5 and 3x+2y=5 , is a straight line.

Prove that the locus of a moving point, which is equidistant from the lines 3x-2y=5 and 3x+2y=5 , is a straight line.

Show that straight lines joining the origin to the points of intersection of 3x-2y+2=0 and 3x^2+5x-2y^2+4x+5y=0 are at right angles .

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=3 . The equation of its locus 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=3 . The equation of its locus 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=3 . The equation of its locus is ..........

Number of points having distance sqrt5 from the straight line x-2y+1=0 and a distance sqrt13 from the lines 2x+3y-1=0 is