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

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.

A line 4x+y=1 passes through the point A(2,-7) and meets line BC at B whose equation is 3x -4y +1=0 , the equation of line AC such that AB=AC is (a) 52x +89y +519=0(b) 52x +89y-519=0 c) 82x +52y+519=0 (d) 89x +52y -519=0

A straight line through the point (2,2) intersects the lines sqrt(3)x+y=0 and sqrt(3)x-y=0 at the point A and B , respectively. Then find the equation of the line A B so that triangle O A B is equilateral.

The straight line 4x+y-1=0 and drawn through A(2,-7) meets the line BC at B . If the equation of BC be 3x-4y+1=0 and overline(AB)=overline(AC) , find the equation of thel line AC.

A circle passes through the point (-2, 1) and touches the straight line 3x - 2y = 6 at the point (4, 3) . Find its equation.

A straight line through the point A (-2,-3) cuts the line x+3y=9 and x+y+1=0 at B and C respectively. If AB.AC =20 then equation of the possible line is

The line through the points (h, 3) and (4,1) intersects the line 7x - 9y - 19 = 0 .at right angle. Find the value of h.

A line L passing through the point (2, 1) intersects the curve 4x^2+y^2-x+4y-2=0 at the point Aa n dB . If the lines joining the origin and the points A ,B are such that the coordinate axes are the bisectors between them, then find the equation of line Ldot

A line through point A(1,3) and parallel to the line x-y+1 = 0 meets the line 2x-3y + 9 = 0 at point P. Find distance AP without finding point P.

The srtaight lines 3x+4y=5and4x-3y=15 intersect at the point A . On these lines , the points B and C are chosen so that AB=AC . Find possible equation of the straight line BC passing throught the point (1,2).