In a triangle `A B C ,` side `A B` has equation `2x+3y=29` and side `A C` has equation `x+2y=16.` If the midpoint of `B C` is (5, 6), then find the equation of `B Cdot`

In triangle A B C , the equation of the right bisectors of the sides A B and A C are x+y=0 and y-x=0 , respectively. If A-=(5,7) , then find the equation of side B Cdot

The equations of the perpendicular bisectors of the sides A Ba n dA C of triangle A B C are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) , then find the equation of the line B Cdot

A right-angled triangle A B C is inscribed in parabola y^2=4x , where A is the vertex of the parabola and /_B A C=pi/2dot If A B=sqrt(5), then find the area of A B Cdot

The diagonals A C and B D of a rhombus intersect at (5,6)dot If A-=(3,2), then find the equation of diagonal B Ddot

In triangle A B C , the equation of side B C is x-y=0. The circumcenter and orthocentre of triangle are (2, 3) and (5, 8), respectively. The equation of the circumcirle of the triangle is

In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0 are the equations of an altitude and an angle bisector, respectively, drawn from B , then the equation of B C is (a) a+y+1=0 (b) 5x+y+17=0 (c) 4x+9y+30=0 (d) x-5y-7=0

In a triangle A B C , the bisectors of angles Ba n dC lies along the lines x=ya n dy=0. If A is (1,2) , then the equation of line B C is (a) 2x+y=1 (b) 3x-y=5 (c) x-2y=3 (d) x+3y=1

Find the area of a triangle whose three sides are having the equations x+y=2,x-y=0 and x+2y-6 =0.

The vertex P of an equilateral triangle trianglePQR is at (2,3) and the equation of the opposite side QR is given by x+y=2 . Find the possible equations of the side PQ.

In a DeltaABC, A = (2,3) and medians through B and C have equations x +y - 1 = 0 and 2y - 1 = 0 Equation of median through A is