Parabola · Mathematics · BITSAT

If $$y=m_1 x+c_1$$ and $$y=m_2 x+c_2, m_1 \neq m_2$$ are two common tangents of circle $$x^2+y^2=2$$ and parabola $$y^2=x$$, then the value of $$8\lef...

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

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...

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

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...