JEE MainMathematicsParabolaMCQ+4 / −1
Let P be a point on the parabola, y2 = 12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line is now drawn through the mid-point M of PN, parallel to its axis which meets the parabola at Q. If the y-intercept of the line NQ is , then :
- AMQ =
- BPN = 4
- CPN = 3
- DMQ =
More from Parabola
- Let the latus ractum of the parabola y2 = 4x be the common chord to the circles C1 and C2 each of them having radius 2 . Then, the distance between the centres of the circles C1 and C2 is :2020 · MCQ
- The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x2 = 4y, internally in the ratio 1 : 2, is :2020 · MCQ
- If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :2019 · MCQ
- Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it?2019 · MCQ
- If denotes the acute angle between the curves, y = 10 – x2 and y = 2 + x2 at a point of their intersection, the |tan | is equal to :2019 · MCQ
- Let A(4, 4) and B(9, 6) be points on the parabola, y2 = 4x. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of ACB is maximum. Then, the area (in sq. units) of ACB, is :2019 · MCQ
- The length of the chord of the parabola x2 4y having equation x – is -2019 · MCQ
- If the area of the triangle whose one vertex is at the vertex of the parabola, y2 + 4(x – a2) = 0 and the othertwo vertices are the points of intersection of the parabola and y-axis, is 250 sq. units, then a value of 'a' is :2019 · MCQ