MHT CET 2026 18th April Evening Shift | Parabola Question 1 | Mathematics

A parabola has its focus on the positive X-axis and the Y-axis as its directrix. If $P(\alpha , 4)$ is a point on this parabola such that the tangent to the parabola at point P passes through the origin, then the distance of P from origin is

$4$

$\sqrt{20}$

$5$

$\sqrt{32}$

MHT CET 2026 15th April Evening Shift

MCQ (Single Correct Answer)

-0

The equation of the common tangent touching the circle $(x-3)^2 + y^2 = 9$ and the parabola $y^2 = 4x$ above the X-axis is

$\sqrt{3}y = 3x + 1$

$\sqrt{3}y = -(x + 3)$

$\sqrt{3}y = x + 3$

$\sqrt{3}y = -(3x + 1)$

MHT CET 2025 26th April Morning Shift

MCQ (Single Correct Answer)

-0

The equation of the directrix of the parabola $y^2+4 y+4 x+2=0$ is

$\quad x=-1$

$\quad x=1$.

$x=\frac{-3}{2}$

$\quad x=\frac{3}{2}$

MHT CET 2025 26th April Morning Shift

MCQ (Single Correct Answer)

-0

The angle between the tangents drawn from the point $(1,4)$ to the parabola $y^2=4 x$, is

$\frac{\pi}{6}$

$\frac{\pi}{2}$

$\frac{\pi}{3}$

$\frac{\pi}{4}$

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