Parallel and Perpendicular Lines - Practice Questions & MCQ

The locus of the mid-points of the perpendiculars drawn from points on the line,x=2y to the line x=y is :

If equation represent the same lines then the values of  and  are:

Find the equation of line parallel to $2x-y+1=0$ and pass through $(-7,2)$.
 

$\text{ Find the equation of line perpendicular to }x-2y+3=0\text{ and passing through }(1,0)\text{. }$

The vertices of a triangle are A(-1,3), B(-2,2) and C(3,-1). A new triangle is formed by shifting the sides of the triangle by one unit inwards. Then the equation of the side of the new triangle nearest to origin is :

Find the value of d such that line $(x+1)/-5=(y+1)/2=(z+2)/1$ lies on the plane $x+y+z=d$

A perpendicular line will be known if we are given