Prove that the line through the point `x_1 , y_1)` and parallel to the line `Ax+By+C=0` is `A(x-x_1) + B (y-y_1)=0`.

Prow that the line through the point (x_(1),y_(1)) and parallel to the line Ax+By+C=0 is A(x-x_(1))+B(y-y_(1))=0

Find the equation of a line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

Show that the equation of a line passing through a given point (x_(1),y_(1)) and perpendicular to the line ax+by +c =0 is b(x- x_(1))-a(y-y_(1)) =0.

The equation of the straigh lines through the point (x_(1),y_(1)) and parallel to the lines given by ax^(2)+2xy+ay^(2)=0 , is

The equation of the plane through the point (-1,2,0) and parallel to the lines (x)/(3)=(y+1)/(0)=(z-2)/(-1) and (x-1)/(1)=(y+1)/(2)=(2z+5)/(-1)

Find the equation of a line passing through point (5, 1) and parallel to the line 7x – 2y + 5 = 0.

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5=0

The equation of the plane through the point (-1,2,0) and parallel to the line (x)/(3)=(y+1)/(0)=(z-2)/(-1) and (x)/(3)=(2y+1)/(2)=(2z+1)/(-1) is

Find the equation of a line passing through point (5, 1) and parallel to the line 7x – 2y + 5 = 0. (a)7x-2y-33=0 (b)6x-8y=0 (c)5x-8y-9=0 (d)None of these

If the image of the point (x_1, y_1) with respect to the mirror ax+by+c=0 be (x_2 , y_2) .