Home
Class 12
MATHS
The vertices B and C of a triangle ABC l...

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)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

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 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, 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 (alpha , beta) is the point on y^2=6x , that is closest to (3,3/2) then find the value of 2(alpha+beta)

If 3a-2b+5c=0. then family of straight lines ax+by+c=0 are always concurrent at a point whose co-ordinates is (alpha,beta), then the values of 5(alpha-beta)

If 2 x+3 y+4=0 is the perpendicular bisector of the segment joining the points A(1,2) and B(alpha, beta) then the value of alpha+beta is

alpha and beta are the roots of x^2 +2x +c=0 . IF alpha ^3 + beta ^3 =4, then the value of C is