# Parabola · Mathematics · BITSAT

Start Practice## MCQ (Single Correct Answer)

BITSAT 2022

If the straight line $$y = mx + c$$ touches the parabola $${y^2} - 4ax + 4{a^3} = 0$$, then c is

BITSAT 2022

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 ...

BITSAT 2022

For each parabola y = x2 + px + q, meeting coordinate axes at 3-distinct points, if circles are drawn through these points, then the family of circles...

BITSAT 2021

The origin is shifted to (1, 2). The equation y2 $$-$$ 8x $$-$$ 4y + 12 = 0 changes to y2 = 4ax, then a is equal to

BITSAT 2020

The distance of point of intersection of the tangents to the parabola x = 4y $$-$$ y2 drawn at the points where it is meet by Y-axis, from its focus i...