Tamil Nadu Board Solutions for Chapter: Coordinate Geometry, Exercise 16: Unit Exercise

Find the area of a triangle formed by the lines $3x+y-2=0, 5x+2y-3=0$ and $2x-y-3=0$.

If vertices of a quadrilateral are at $A(-5,7), B(-4, k), C(-1,-6)$ and $D(4,5)$ and its area is $72 \mathrm{sq}.\mathrm{units}$. Find the value of $k$.

Without using distance formula, show that the points $(-2,-1),(4,0),(3,3)$ and $(-3,2)$ are vertices of a parallelogram

Find the equations of the lines, whose sum and product of intercepts are $1$ and $-6$ respectively.

The owner of a milk store finds that, he can sell $980$ litres of milk each week at $₹14/$ litre and $1220$ litres of milk each week at $₹16$ litre. Assuming a linear relationship between selling price and demand, if $k$ litres could he sell weekly at $₹17 /$ litre then find the value of $k$.

Find the image of the point $(3,8)$ with respect to the line $x+3 y=7$ assuming the line to be a plane mirror.

Find the equation of a line passing through the point of intersection of the lines $4x+7y-3=0$ and $2x-3y+1=0$ that has equal intercepts on the axes

A person standing at a junction (crossing) of two straight paths represented by the equations $2x-3y+4=0$ and $3x+4y-5=0$ seek to reach the path whose equation is $6x-7y+8=0$ in the least time. Find the equation of the path that he should follow.