Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
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Sequence And Series
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Permutations and Combinations
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Three Dimensional Geometry
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Trigonometry
Trigonometric Angles and Equations
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Inverse Trigonometric Function
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Height and Distance
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Properties of Triangles
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Calculus
Limit, Continuity and Differentiability
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Application of Derivatives
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Indefinite Integration
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Area Under The Curves
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Differential Equations
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1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833

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
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833

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
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833

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  
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

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 $a^2 + b^2 + c^2$?

A

19

B

18

C

17

D

11