Home
Class 12
MATHS
If (x, y) is the incentre of the triangl...

If (x, y) is the incentre of the triangle formed by the points (3, 4), (4, 3) and (1, 2), then the value of `x^(2)` is

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the area of the triangle formed by the points P(-1.5, 3), Q(6,-2) and R(-3, 4).

Do the points (3, 2), (-2, -3) and (2, 3) form a triangle?

If the orthocentre of the triangle formed by the points t_1,t_2,t_3 on the parabola y^2=4ax is the focus, the value of |t_1t_2+t_2t_3+t_3t_1| is

The incentre of triangle with vertices (1, sqrt(3)), (0,0) and (2, 0) is

Find the centroid and incentre of the triangle whose vertices are (1, 2), (2, 3) and (3, 4).

Find the coordinates of incentre of the triangle whose are (4, -2), (-2, 4) and (5, 5).

The image of the point (-1, 3, 4) in the plane x-2y=0 is

If the point C(-1, 2) divides internally the line segment joining the points A(2,5) and B(x,y)in the ratio 3 : 4 find the value of x^(2) + y^(2) .

Consider the parabola y^2 = 8x. Let Delta_1 be the area of the triangle formed by the end points of its latus rectum and the point P( 1/2 ,2) on the parabola and Delta_2 be the area of the triangle formed by drawing tangents at P and at the end points of latus rectum. Delta_1/Delta_2 is :

If m_(1) and m_(2) are the roots of the equation x^(2) + ( sqrt(3) + 2) x + sqrt(3) - 1 =0 then prove that area of the triangle formed by the lines y=m_(1) x, y=m_(2) x and y=c is (c^2)/( 4) ( sqrt(33) + sqrt(11)) .