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 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
The centre of the circle passing through the origin and making positive intercepts 4 and 6 on the coordinate axes, lies on the line
A
2x − y + 1 = 0
B
3x − 2y − 1 = 0
C
3x − 4y + 6 = 0
D
2x + 3y − 26 = 0
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
What is the equation of the circle which touches both the axes in the first quadrant and the line y - 2 = 0?
A
x2 + y2 - 2x - 2y - 1 = 0
B
x2 + y2 + 2x + 2y + 1 = 0
C
x2 + y2 - 2x - 2y + 1 = 0
D
x2 + y2 - 4x - 4y + 4 = 0
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.

A circle is passing through the points (5, -8), (-2, 9) and (2, 1).

What are the coordinates of the center of the circle?
A
(-2, -50)
B
(-50, -20)
C
(-24, -58)
D
(-58, -24)
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.

A circle is passing through the points (5, -8), (-2, 9) and (2, 1).

If r is the radius of the circle, then which one of the following is correct?
A
r < 10
B
10 < r < 30
C
30 < r < 60
D
r > 60