JEE MainMathematicsParabolaMCQ+4 / −1
The locus of the mid-point of the line segment joining the focus of the parabola y2 = 4ax to a moving point of the parabola, is another parabola whose directrix is :
- Ax = 0
- Bx = -
- Cx = a
- Dx =
More from Parabola
- If P is a point on the parabola y = x2 + 4 which is closest to the straight line y = 4x 1, then the co-ordinates of P are :2021 · MCQ
- The shortest distance between the line x y = 1 and the curve x2 = 2y is :2021 · MCQ
- If two tangents drawn from a point P to the parabola y2 = 16(x 3) are at right angles, then the locus of point P is :2021 · MCQ
- The length of the latus rectum of a parabola, whose vertex and focus are on the positive x-axis at a distance R and S (> R) respectively from the origin, is :2021 · MCQ
- The area (in sq. units) of an equilateral triangle inscribed in the parabola y2 = 8x, with one of its vertices on the vertex of this parabola, is :2020 · MCQ
- 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…2020 · MCQ
- 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