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 A(-2, -3) cuts the line x+3y=9 and x+y+1=0 at B and C respectively. Find the equation of the line if AB.AC = 20 .

Find the equation of a line passing through the point (-3,2) and parallel to line 4x - 3y - 7 = 0 .

The equation of the line AB is y = x . If A and B lie on the same side of the line mirror 2x-y = 1 , then the equation of the image of AB is (a) x+y-2=0 (b) 8x+y-9=0 (c) 7x-y-6=0 (d) None of these

The slope of the line that passes through the point (8,9) and the center of the circle is x^(2)+y^(2)-10x-12y+43=0

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 equation of a line passing through the point if intersection of the lines 4x-3y -1 =0 and 5x -2y -3 =0 and parallel to the line 2y -3x + 2 = 0 is

Straight lines 2x+y=5 and x-2y=3 intersect at the point A. Points B and C are chosen on these two lines such that AB=AC .Then the equation of a line BC passing through the point (2.3) is: (C) is: A) 3x-y-3=055.(B)x+3y-11=0(C)3x+y-9=0(D)x-3y+7=0

Find the equation of the tangent line to the curve y=(3x^2-1)/x at the point (1,2) is (a) 4x-y-1=0 (b) 4x+y+2=0 (c)x-y-1=0 (d) 4x-y-2=0

If line y= 2x meets circle x^(2) + y^(2) - 4x = 0 in point A and B , then equation of circle of which AB is diameter is