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`

The vertices B and C of a triangle ABC lie on the lines 3y=4x and y=0 respectively and the side BC passes through the point ((2)/(3),(2)/(3)) If ABOC is a rhombus,o being the origin.If co-ordinates of vertex A is (alpha,beta), then find the value of (5)/(2)(alpha+beta)

The vertices B, C of a triangle ABC lie on the lines 4y=3x and y=0 respectively and the side BC passes through thepoint P(0, 5) . If ABOC is a rhombus, where O is the origin and the point P is inside the rhombus, then find the coordinates of A\'.

If a+b+c=0 then the line 3ax+by+2c=0 passes through the fixed point

Find the vector and Cartesian equations of the line passing through the points A(2,-3,0) and B(-2,4,3).

The line 2x+3y=6, 2x+3y-8 cut the X-axis at A,B respectively. A line L=0 drawn through the point (2,2) meets the X-axis at C in such a way that abscissa of A,B,C are in arithmetic Progression. then the equation of the line L is

The line 2x+3y=6,2x+3y=8 cut the X -axis at A,B respectively A line L=0 drawn through the point (2,2) meets the axis at C in such a way that abscissa of A,B,C are in arithmetic Progression.then the equation of the line L is

If 3a+2b+4c=0 then the lines ax+by+c=0 pass through the fixed point

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 vector equations of a line passing through the point A(3,-2,1) and parallel to the line joining B(-2,4,2) and C(2,3,,3). Also find the Cartesian equations of the line.