Circle · Mathematics · NDA
MCQ (Single Correct Answer)
1
If (a, b) is the centre and c is the radius of the circle $x^2 + y^2 + 2x + 6y + 1 = 0$, then what is the value of $a^2 + b^2 + c^2$?
NDA Mathematics 21 April 2024
2
What is the value of $A_1$?
NDA Mathematics 21 April 2024
3
What is the value of $\frac{2(A_1 + A_2)}{ A_1 - 3A_2}$?
NDA Mathematics 21 April 2024
4
If 3x + y - 5 = 0 is the equation of a chord of the circle x2 + y2 - 25 = 0, then what are the coordinates of the mid-point of the chord ?
NDA Mathematics 3 September 2023
5
Consider the following in respect of the circle 4x2 + 4y2 - 4ax - 4ay + a2 = 0:
1. The circle touches both the axes.
2. The diameter of the circle is 2a.
3. The centre of the circle lies on the line x + y = a.
How many of the statements given above are correct?
NDA Mathematics 3 September 2023
6
What is the area of minor segment ?
NDA Mathematics 16 April 2023
7
What is the area of major segment ?
NDA Mathematics 16 April 2023
8
What is the diameter of a circle inscribed in a regular polygon of 12 sides, each of length 1 cm ?
NDA Mathematics 4 September 2022
9
The centre of the circle passing through the origin and making positive intercepts 4 and 6 on the coordinate axes, lies on the line
NDA Mathematics 4 September 2022
10
What is the equation of the circle which touches both the axes in the first quadrant and the line y - 2 = 0?
NDA Mathematics 10 April 2022
11
What is the radius of the circle 4x2 + 4y2 - 20x + 12y - 15 = 0?
NDA Mathematics 18 April 2021
12
A chord subtends an angle 120° at the centre of a unit circle. What is the length of the chord?
NDA Mathematics 18 April 2021