The vertices, B and C of a triangle ABC lie on the lines 3y=4x and y=0, respectively. The side BC passes through the point (2/3, 2/3). If ABOC is a rhombus lying in first quadrant, O being the origin, them find the equation of the line BC.

The vertices Ba n dC of a triangle A B C lie on the lines 3y=4xa n dy=0 , respectively, and the side B C passes through the point (2/3,2/3) . If A B O C is a rhombus lying in the first quadrant, O being the origin, find the equation of the line B Cdot

Thet equations to the sides of a triangle are x-3y=0,4x+3y=5 and 3x+y=0. Then the line 3x-4y=0 passes through the-

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

Find the area lying in the first quadrant and bounded by the curve y=x^3 and the line y=4xdot

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

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

Let points A,B and C lie on lines y-x=0, 2x-y=0 and y-3x=0, respectively. Also, AB passes through fixed point P(1,0) and BC passes through fixed point Q(0,-1). Then prove that AC also passes through a fixed point and find that point.

A line passing through the point P(4,2) meets the x and y-axis at A and B respectively. If O is the origin, then locus of the centre of the circumcircle of triangle OAB is