Skip to main content
Back to PARABOLA

JEE MATHEMATICS MCQ: PARABOLA

1 Medium
1 of 1
Analyzing +4 | -1
Two parabolas y2=4a(xβˆ’Ξ»1)y^2=4 a\left(x-\lambda_1\right) and x2=4a(yβˆ’Ξ»2)x^2=4 a\left(y-\lambda_2\right) always touch each other, Ξ»1\lambda_1 and Ξ»2\lambda_2 being variable parameters. Then, their points of contact lie on a
View answer and explanation
Correct option: D
hyperbola
Option D (hyperbola) is correct because the locus of the point of contact is found to be xy=4a2xy = 4a^2, which represents a hyperbola.

More Questions from PARABOLA

Practice All Chapter MCQs β†’
The equation of a common tangent to the parabolas y=x2y=x^2 and y=βˆ’(xβˆ’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=βˆ’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 πŸ”¬ JEE MCQs 🎯 JEE College Predictor Study guides πŸ“Š Dashboard
πŸ”“

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 β†’