The extremities of the base of an isosceles triangle are `(2,0)a n d(0,2)` . If the equation of one of the equal side is `x=2,` then the equation of other equal side is (a)`x+y=2` (b) `x-y+2=0` (c)`y=2` (d) `2x+y=2`

If the extremities of the base of an isosce- les triangle are the points (2a, 0) and (0,a) and the equation of one of the sides is x=2a, then the area of the triangle is

If the two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If the equation of one diagonal is 11 x+7y=9, find the equation of the other diagonal.

If the equation of the base opposite to the vertex (2,3) of a equilateral triangle is x+y=2, then the length of a side is

The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

Let P Q R be a right-angled isosceles triangle, right angled at P(2,1)dot If the equation of the line Q R is 2x+y=3 , then the equation representing the pair of lines P Q and P R is (a) 3x^2-3y^2+8x y+20 x+10 y+25=0 (b) 3x^2-3y^2+8x y-20 x-10 y+25=0 (c) 3x^2-3y^2+8x y+10 x+15 y+20=0 (d) 3x^2-3y^2-8x y-15 y-20=0

If x-2y+4=0 and 2x+y-5=0 are the sides of an isosceles triangle having area 10sq dot units , the equation of the third side is (a) 3x-y=-9 (b) 3x-y+11=0 (c) x-3y=19 (d) 3x-y+15=0

The equation of the line AB is y = x . If A and B lie on the same side of the line mirror 2x-y = 1 , then the equation of the image of AB is (a) x+y-2=0 (b) 8x+y-9=0 (c) 7x-y-6=0 (d) None of these

Find the orthocentre of the triangle the equations of whose sides are x+y=1,2x+3y=6a n d4x-y+4=0.

An equilateral triangle is inscribed in an ellipse whose equation is x^2+4y^2=4 If one vertex of the triangle is (0,1) then the length of each side is