List of top Mathematics Questions on Distance of a Point From a Line asked in BITSAT

If a point $ P(x, y) $ satisfies the condition that its distance from the point $ (3, -2) $ is equal to its distance from the line $ y = 2x + 1 $, then the locus of point $ P $ is:
The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line $$ 4x - 5y = 20 $$ to the circle $$ x^2 + y^2 = 9 \text{ is:} $$ 
A normal is drawn at the point \( P \) to the parabola \( y^2 = 8x \), which is inclined at \( 60^\circ \) with the straight line \( y = 8 \). Then the point \( P \) lies on the straight line:
The nearest point on the line $3x + 4y = 12$ from the origin is