1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Consider the following statements in respect of the equation $x ^ 2 + 3y = 0$
I. The equation represents the equation to parabola that opens upwards.
II. The axis of the parabola is x = 0
III. The equation of the latus rectum is 4y - 3 = 0
How many of the statements given above are correct?
2
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
A tangent to the parabola y2 = 4x is inclined at an angle 45° deg with the positive direction of x-axis. What is the point of contact of the tangent and the parabola?
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Consider the points P(4k, 4k) and Q(4k, -4k) lying on the parabola y2 = 4kx. If the vertex is A, then what is ∠PAQ equal to?
4
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:
NDA Subjects
Browse all chapters by subject
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
English
General Studies