Abscissae and ordinates of n given points are in A.P., with first term a and common difference 1 and 2 respectively. If algebraic sum of perpendiculars drawn from these given points on a variable line which always passes through the point (132,11) is 0, then the value of a⋅n is

Abscissae and ordinates of n given points are in A.P., with first term

1.	Abscissae and ordinates of n given points are in A.P., with first term a and common difference 1 and 2 respectively. If algebraic sum of perpendiculars drawn from these given points on a variable line which always passes through the point (132,11) is 0, then the value of a⋅n is
Answer» Abscissae and ordinates of $n$ given points are in $A . P .,$ with first term $a$ and common difference $1$ and $2$ respectively. If algebraic sum of perpendiculars drawn from these given points on a variable line which always passes through the point $(\frac{13}{2}, 11)$ is $0,$ then the value of $a \cdot n$ is