1

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

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:

2

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

What is the equation of directrix of parabola y2 = 4bx, where b < 0 and b2 + b - 2 = 0?

3

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

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 ?

Questions Asked from Parabola (Marks 2.5)

Number in Brackets after Paper Indicates No. of Questions

NDA Subjects

Mathematics

Algebra

Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics

Trigonometry

Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles

Coordinate Geometry

Calculus

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General Studies