1.  If m 1   a n d   m 2 are the roots of the equation x 2 + 3 + 2 × + 3 - 1 = 0 , then find the area of the triangle formed by the lines y = m 1 x , y = m 2 x   a n d   y = c .

2.  If x 1 ,   x 2 ,   x 3 are in A.P. and y 1 ,   y 2 ,   y 3 are in A.P.  Prove that points x 1 ,   y 1 ,   x 2 ,   y 2 and x 3 ,   y 3 are collinear.

3.  A(1, 4), B(-1, 2) and C(5, -2) are the vertices of a ABC.  Find the co-ordinates of the point where the right bisector of BC intersects the median through C.

6.  Prove that in a right angled triangle the mid point of the hypotenuse is equidistant from vertices.

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