If $b$ and $c$ are the lengths of the segments of any focal chord of a parabola $y^2 = 4ax$,then the length of the semi-latus rectum is:
- A$\frac{bc}{b+c}$
- B$\sqrt{bc}$
- C$\frac{b+c}{2}$
- D$\frac{2bc}{b+c}$
Explore More
Similar Questions
Find the equation of the parabola that satisfies the following conditions: Vertex $(0, 0)$,passing through $(5, 2)$,and symmetric with respect to the $y$-axis.
Easy
View SolutionThe line $y = 2x + c$ is tangent to the parabola $y^2 = 4x$,then $c = $
Easy
View SolutionLet the length of the focal chord $PQ$ of the parabola $y^2=12x$ be $15$ units. If the distance of $PQ$ from the origin is $p$,then $10p^2$ is equal to:
DifficultJEE MAIN 2024
View SolutionIf the tangent and normal at any point $P$ of a parabola meet the axis of the parabola in $T$ and $G$ respectively,then
Difficult
View SolutionThe coordinates of the focus of the parabola described parametrically by $x=5t^2+2, y=10t+4$ (where $t$ is a parameter) are
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo