Skip to main content
Back to PARABOLA

JEE MATHEMATICS MCQ: PARABOLA

1 Easy
1 of 1
Analyzing +4 | -1
If y=m1x+c1y = {m_1}x + {c_1} and y=m2x+c2,  m1≠m2y = {m_2}x + {c_2},\,\,{m_1} \ne {m_2} are two common tangents of circle x2+y2=2{x^2} + {y^2} = 2 and parabola y2=x,{y^2} = x, then the value of 8∣m1m2∣8\left| {{m_1}{m_2}} \right| is equal to
View answer and explanation
Correct option: C
−4+32- 4 + 3\sqrt 2
The correct answer is C (−4+32- 4 + 3\sqrt 2) because it is the value of 8∣m1m2∣8|m_1m_2| calculated using the condition for common tangents to the circle and parabola.

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 →