M L Aggarwal Solutions for Exercise 4: Chapter Test

Write down the equation of line parallel to $x-2y+8=0$ and passing through the point $(1,2).$

Write down the equation of the line passing through $(-3,2)$, and perpendicular to the line $3y=5-x.$

Find the equation of the line perpendicular to the line joining the points $A(1,2)$ and $B(6,7)$, and passing through the point which divides the line segment $AB$ in the ratio $3:2.$

The points $A(7,3)$ and $C(0,-4)$ are two opposite vertices of a rhombus $ABCD$. Find the equation of the diagonal $BD.$

A straight line passes through $P(2,1)$ and cuts the axes in the points $A,B$. If $BP:PA$, find coordinates of $A$ and $B.$

A straight line passes through $P(2,1)$ and cuts the axes in the points $A,B$. If $BP:PA$,find the equation of line $AB.$

A straight line makes on the coordinate axes positive intercepts whose sum is $7$. If the line passes through the point $(-3,8)$, find its equation?

If the coordinates of vertex $A$ of a square $ABCD$ are $(3,-2)$ and the equation of the diagonal $BD$ is $3x-7y+6=0$, find the equation of the diagonal $AC.$ Also find the centre of the coordinates of the centre of the square.