New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Parabola question

2023 · 1 Feb · Shift 2 · Q40

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

PYQ Library
JEE Main
Mathematics
Parabola
2023 · 1 Feb · Shift 2 · Q40

Parabola question

2023 · 1 Feb · Shift 2 · Q40

JEE MainMathematicsParabolaNumerical+4 / −1

If the

x

-intercept of a focal chord of the parabola

y^{2}=8x+4y+4

is 3, then the length of this chord is equal to

\underline{\hspace{2cm}}

.

Numerical answer

More from Parabola

Let $R$ be the focus of the parabola $y^{2} = 20 x$ and the line $y = m x + c$ intersect the parabola at two points $P$ and $Q$ . Let the point $G (10, 10)$ be the centroid of the triangle $P QR$ . If $c - m = 6$ , then $(P Q)^{2}$ is :2023 · MCQ
Let $PQ$ be a focal chord of the parabola $y^{2} = 36 x$ of length 100 , making an acute angle with the positive $x$ -axis. Let the ordinate of $P$ be positive and $M$ be the point on the line segment PQ such that…2023 · MCQ
The equations of two sides of a variable triangle are $x = 0$ and $y = 3$ , and its third side is a tangent to the parabola $y^{2} = 6 x$ . The locus of its circumcentre is :2023 · MCQ
The parabolas : $a x^{2} + 2 b x + cy = 0$ and $d x^{2} + 2 e x + f y = 0$ intersect on the line $y = 1$ . If $a, b, c, d, e, f$ are positive real numbers and $a, b, c$ are in G.P., then :2023 · MCQ
A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at the point P meets the x-axis at Q. If the y-axis bisects the segment PQ, then C is a parabola with :2022 · MCQ
Let P1 be a parabola with vertex (3, 2) and focus (4, 4) and P2 be its mirror image with respect to the line x + 2y = 6. Then the directrix of P2 is x + 2y = .2022 · Numerical
Let $x = 2 t$ , $y = \frac{t ^{2}}{3}$ be a conic. Let S be the focus and B be the point on the axis of the conic such that $S A ⊥ B A$ , where A is any point on the conic. If k is the ordinate of the centroid of the $Δ$ SAB, then $t \to 1 lim k$ …2022 · MCQ
Let $P$ and $Q$ be any points on the curves $(x - 1)^{2} + (y + 1)^{2} = 1$ and $y = x^{2}$ , respectively. The distance between $P$ and $Q$ is minimum for some value of the abscissa of $P$ in the interval :2022 · MCQ