Gujarat BoardEnglish MediumSTD 11 ScienceMATHSCONIC SECTIONS2 Marks
Question
Find the equation of the parabola with focus (2, 0) and directrix x = – 2.
✓
Answer
Given that the directrix is $x=-2$ and the focus is $(2,0)$,
Since the focus $(2,0)$ lies on the $x$-axis, the $x$-axis itself is the axis of the parabola. Hence the equation of the parabola is of the form either $y^2=4 a x$ or $y^2=-4 a x$.
Since the directrix is $x=-2$ and the focus is $(2,0)$, the parabola is to be of the form $y^2=4 a x$ with $a=2$.
Hence the required equation is $y^2=4(2) x=8 x$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.