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\'.

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 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 lying in the first quadrant,O being the origin,find the equation of the line BC.

The equation of the side AB and AC of a triangle ABC are 3x+4y+9 and 4x-3y+16=0 respectively. The third side passes through the point D(5, 2) such that BD:DC=4:5 . Find the equation of the third side.

A plane is passing through a point P(a, –2a, 2a), a ne 0 , at right angle to OP, where O is the origin to meet the axes in A, B and C. Find the area of the triangle ABC.

Find the equation of the line parallel to the line 3x-4y+2=0 and passing through the point (-2,5) .

Let the points A lies on 3x-4y+1=0 , the point B lines on 4 x + 3 y - 7 = 0 and the point C is (-2,5) . If ABCD is a rhombus , then the locus of D is

The equations of sides of a triangle are x+3y=0 , 4x-3y=5 and 3x-y=0. Then the line 6x-7y=0 passes through the __________ of the triangle.

The sides of a triangle ABC lie on the lines 3x+4y=0,4x+3y=0 and x=3. Let (h,k) be the centre of the circle inscribed in /_ABC. The value of (h+k) equals

Find the equation of the circle passing through the origin and the points where the line 3x+4y=12 meets the axes of coordinates.