Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Angles and Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Function
MCQ (Single Correct Answer)
Height and Distance
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Calculus
Limit, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
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 ?
A
1
B
2
C
3
D
4
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
What is the equation of the parabola with focus (-3, 0) and directrix x - 3 = 0 ?
A
y2 = 3x
B
x2 = 12y
C
y2 = 12x
D
y2 = -12x
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83

Direction: Consider the following for the next two (02) items that follow.

The two ends of the latus rectum of a parabola are (-2, 4) and (-2, -4).

What is the maximum number of parabolas that can be drawn through these two points as end points of latus rectum?
A
Only one
B
Two
C
Four
D
Infinite
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83

Direction: Consider the following for the next two (02) items that follow.

The two ends of the latus rectum of a parabola are (-2, 4) and (-2, -4).

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?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2