Parabola · Mathematics · NDA
MCQ (Single Correct Answer)
1
In the parabola $y^2 = 8x$, the focal distance of a point P lying on it is 8 units. Which of the following statements is/are correct?
1. The coordinates of $P$ can be $\left(6, 4\sqrt{3}\right)$.
2. The perpendicular distance of $P$ from the directrix of parabola is 8 units.
Select the correct answer using the code given below:
NDA Mathematics 21 April 2024
2
What is the equation of directrix of parabola y2 = 4bx, where b < 0 and b2 + b - 2 = 0?
NDA Mathematics 3 September 2023
3
An equilateral triangle is inscribed in a parabola x2 = $\sqrt{3}$y where one vertex of the triangle is at the vertex of the parabola. If p is the length of side of the triangle and q is the length of the latus rectum, then which one of the following is correct ?
NDA Mathematics 4 September 2022
4
The area of the region bounded by the parabola y2 = 4kx, where k > 0 and its latus rectum is 24 square units. What is the value of k ?
NDA Mathematics 10 April 2022
5
What is the equation of the parabola with focus (-3, 0) and directrix x - 3 = 0 ?
NDA Mathematics 10 April 2022
6
What is the maximum number of parabolas that can be drawn through these two points as end points of latus rectum?
NDA Mathematics 14 November 2021
7
Consider the following statements in respect of such parabolas:
1. One of the parabolas passes through the origin (0, 0).
2. The focus of one of the parabolas lies at (-2, 0).
Which of the above statements is/are correct?
NDA Mathematics 14 November 2021