1
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
A square is inscribed in a circle x 2 + y 2 + 2x + 2y + 1 = 0 and its sides are parallel to coordinate axes. Which one of the following is a vertex of the square?
A
(-2,2)
B
(-2,-2)
C
$(-1+\frac{1}{\sqrt{2}},-1-\frac{1}{\sqrt{2}})$
D
None of the above
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

The equation of a circle is 

(x2 - 4x + 3) + (y2 - 6y + 8) = 0

Which of the following statements are correct?

I. The end points of a diameter of the circle are at (1, 2) and (3, 4).

II. The end points of a diameter of the circle are at (1, 4) and (3, 2).

III. The end points of a diameter of the circle are at (2, 4) and (4, 2).

Select the answer using the code given below.

1
I and II only
2
II and III only
3
I and III only
4
I, II and III
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction: Consider the following for the items that follow:

A triangle ABC is inscribed in the circle x2 + y2 = 100. B and C have coordinates (6, 8) and (-8, 6) respectively.

What is BAC equal to?
1
π/2
2
π/3 or 2π/3
3
π/4 or 3π/4
4
π/6 or 5π/6
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction: Consider the following for the items that follow:

A triangle ABC is inscribed in the circle x2 + y2 = 100. B and C have coordinates (6, 8) and (-8, 6) respectively.

What are the coordinates of A? 
1
(-6, 8)
2
(-6, -8)
3
(5√2, 5√2)
4
Cannot be. determined due to insufficient data  
EXAM MAP