If two equal sides of a triangle are `x^2 + 4xy + y^2 = 0` then locus of mid point of third side is

The equation of two equal sides of an isosceles triangle are 7x - y + 3 = 0 and x + y - 3 = 0 and its third side is passes through the point (1, - 10). The equation of the third side is

If 8x^(2)-14xy+5y^(2)=0 represents two sides of a triangle and centriod of the triangle is (2, 2) then midpoint of third side is

If 2x^(2)-3xy+y^(2)=0 represents two sides of a triangle and lx + my + n = 0 is the third side then locus of incentre of the triangle is

Prove that the two circles drawn on the two equal sides of an isosceles triangle as diameters pass through the mid point of the third side.

If 2x^(2)-3xy+y^(2)=0 represents two sides of a triangle and lx+my+n=0 is the third side then locus of the incentre of the triangle is

If two sides of a triangle lie along 3x^2 - 5xy + 2y^2 = 0 and its orthocentre is (2, 1) then show that equation to the third side is 10x + 5y - 21 = 0.

Two sides of a triangle are 2x+y=0 and x-y+2= 0. If its orthocentre is (2,3), the third side is 8x+5y-10=0 .

Two equal sides of an isoceles triangle are given by 7x-y+3=0 and x+y-3=0 and the third side passes through the point (1,10) then slope m of the third side is given by