RankLab
Back to Questions
MathsMediumMCQ2013 ยท 09 Apr Online

Q72.Equation of the line passing through the points of intersection of the parabola x2 = 8y and the ellipse x2 3 + y2 = 1 is : (1) y โˆ’3 = 0 (2) y + 3 = 0 (3) 3y + 1 = 0 (4) 3y โˆ’1 = 0

What This Question Tests

This question tests the ability to find the points of intersection of a parabola and an ellipse by solving their equations simultaneously, and then finding the equation of the line passing through these intersection points.

Concepts Tested

Equation of parabolaEquation of ellipseIntersection points of two curves

Formulas Used

Equation of parabola x^2=8y

Equation of ellipse x^2/a^2 + y^2/b^2 = 1

๐Ÿ“š NCERT Sections This Tests

2.1 โ€” Two Charges 5 ร— 10โ€“8 C And โ€“3 ร— 10โ€“8 C Are Located 16 Cm Apart. At

Physics Class 11 ยท Chapter 2

72% match

2.1 Two charges 5 ร— 10โ€“8 C and โ€“3 ร— 10โ€“8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.

9.8 โ€” A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The

Physics Class 12 ยท Chapter 9

71% match

9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?

9.15 โ€” Apply Mirror Equation And The Condition:

Physics Class 12 ยท Chapter 9

70% match

9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.