New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Parabola question

2024 · 4 Apr · Shift 1 · Q58

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Parabola
2024 · 4 Apr · Shift 1 · Q58

Parabola question

2024 · 4 Apr · Shift 1 · Q58

JEE MainMathematicsParabolaNumerical+4 / −1

Let the length of the focal chord PQ of the parabola

y^2=12 x

be 15 units. If the distance of

\mathrm{PQ}

from the origin is

\mathrm{p}

, then

10 \mathrm{p}^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

More from Parabola

Let $P Q$ be a chord of the parabola $y^{2} = 12 x$ and the midpoint of $P Q$ be at $P$ . Then, which of the following point lies on the line passing through the points $P$ and $Q$ ?2024 · MCQ
Suppose $AB$ is a focal chord of the parabola $y^{2} = 12 x$ of length $l$ and slope $m < 3$ . If the distance of the chord $AB$ from the origin is $d$ , then $l d^{2}$ is equal to …2024 · Numerical
Let a line perpendicular to the line $2 x - y = 10$ touch the parabola $y^{2} = 4 (x - 9)$ at the point P. The distance of the point P from the centre of the circle $x^{2} + y^{2} - 14 x - 8 y + 56 = 0$ is .2024 · Numerical
Let $C$ be the circle of minimum area touching the parabola $y = 6 - x^{2}$ and the lines $y = 3 ∣ x ∣$ . Then, which one of the following points lies on the circle $C$ ?2024 · MCQ
Let a conic $C$ pass through the point $(4, - 2)$ and $P (x, y), x \geq 3$ , be any point on $C$ . Let the slope of the line touching the conic $C$ only at a single point $P$ be half the slope of the line joining the points $P$ and $(3, - 5)$ . If…2024 · Numerical
Let $L_{1}, L_{2}$ be the lines passing through the point $P (0, 1)$ and touching the parabola $9 x^{2} + 12 x + 18 y - 14 = 0$ . Let $Q$ and $R$ be the points on the lines $L_{1}$ and $L_{2}$ such that the $△ P QR$ is an isosceles triangle with base $QR$ …2024 · Numerical
Let $A, B$ and $C$ be three points on the parabola $y^{2} = 6 x$ and let the line segment $C$ meet the line $L$ through $C$ parallel to the $x$ -axis at the point $D$ . Let $M$ and $N$ respectively be the feet of the perpendiculars from $A$ …2024 · Numerical
Consider the circle $C : x^{2} + y^{2} = 4$ and the parabola $P : y^{2} = 8 x$ . If the set of all values of $α$ , for which three chords of the circle $C$ on three distinct lines passing through the point $P$ are bisected by the parabola $P$ …2024 · Numerical