JEE Main 2022 · 24 Jun · Shift 2 · Mathematics Q30

← JEE Main 2022 · 24 Jun · Shift 2

MathematicsInteger+4 / -1Question 30 of 90

Let $\mathrm P_1$ be a parabola with vertex $(3,2)$ and focus $(4,4)$ and $\mathrm P_2$ be its mirror image with respect to the line $x+2y=6$ . Then the directrix of $\mathrm P_2$ is $x+2y=$ ______.

Your answer

Answer and worked solution

Official answer: 10

Directrix of $P_1$ . It is perpendicular to the axis direction $(1,2)$ and passes through $V-(S-V)=(2,0)$ : $x+2y=2$ .

Reflect in $x+2y=6$ . A parallel line $x+2y=c$ reflects to $x+2y=12-c$ , so the directrix of $P_2$ is $x+2y=10$ .

Answer: 10

Topics:Parabola Equations of a line

← Previous question Next question →

JEE Main 2022 · 24 Jun · Shift 2, Mathematics question 30