#
1. If ${m}_{1}and{m}_{2}$ are the roots of the equation ${x}^{2}+\left(\sqrt{3}+2\right)\times +\left(\sqrt{3}-1\right)=0$ , then find the area of the triangle formed by the lines y = ${m}_{1}x$, y = ${m}_{2}xandy=c$.

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 $\left({x}_{1},{y}_{1}\right),\left({x}_{2},{y}_{2}\right)$ and $\left({x}_{3},{y}_{3}\right)$ are collinear.

3. A(1, 4), B(-1, 2) and C(5, -2) are the vertices of a $\u2206$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.

Dear Student,

Hope this information will clear your doubts about topic.

Request you to kindly post different queries in separate threads.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

RegardsRequest you to kindly post different queries in separate threads.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

**
**