Skip to main content
Back to PARABOLA

JEE MATHEMATICS MCQ: PARABOLA

1 Medium
1 of 1
Application +4 | -1
The equation of the parabola with focus (a,b)(a, b) and directrix xa+yb=1\frac{x}{a}+\frac{y}{b}=1 is given by
View answer and explanation
Correct option: A
(ax−by)2−2a3x−2b3y+a4+a2b2+b4=0(a x-b y)^2-2 a^3 x-2 b^3 y+a^4+a^2 b^2+b^4=0
Option A ((ax−by)2−2a3x−2b3y+a4+a2b2+b4=0(a x-b y)^2-2 a^3 x-2 b^3 y+a^4+a^2 b^2+b^4=0) is correct because it represents the equation of the parabola with the given focus and directrix, derived using the distance formula.

More Questions from PARABOLA

Practice All Chapter MCQs →
The equation of a common tangent to the parabolas y=x2y=x^2 and y=−(x−2)2y=-(x-2)^2 is A point PP moves such that slope of one tangent drawn from it to parabola y2=16xy^2=16 x is four times the slope of other tangent, then the length of latus rectum of the conic represented by locus of PP, is Let P,Q,RP,Q,R be three points on parabola y2=4x{y^2} = 4x and normal at PP and RR meet at QQ, then the locus of the mid-point of the chord PRPR is a parabola whose vertex is at The tangents at the end points of any chord through (1,0)(1,0) to the parabola y2+4x=8y^2+4 x=8 intersect The focus of the parabola x2=−16yx^2=-16 y is If II denotes the semi-latusrectum of the parabola y2=4ax{y^2} = 4ax and SPSP and SQSQ denote the segments of any focal chord PQ,SPQ,S being the focus, then SP,lSP,l and SQSQ are in the relation
Type at least 2 characters or jump directly:
🩺 NEET MCQs 🔬 JEE MCQs 🎯 JEE College Predictor Study guides 📊 Dashboard
🔓

Save your learning progress

Sign in with a free account to save your practice answers and quiz results, then return to them when you revise.

Continue with Free Account →