1
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
. What is the distance between the two foci of the hyperbola 25x2 - 75y 2= 225 ?
A
$2\sqrt{3} $ units 
B
$4 \sqrt{3} $ units 
C
$\sqrt{6} $ units 
D
$2\sqrt{6} $ units 
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following in respect of the equation $\frac{x^2}{24-k}+\frac{y^2}{k-16}=2$.

1. The equation represents an ellipse if k = 19.

2. The equation represents a hyperbola if k = 12.

3. The equation represents a circle if k = 20.

How many of the statements given above are correct?

A
Only one
B
Only two
C
All three
D
None
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following statements in respect of hyperbola $\frac{x^2}{\cos ^2 \theta}-\frac{y^2}{\sin ^2 \theta}=1$ :

1. The two foci are independent of θ.

2. The eccentricity is sec θ.

3. The distance between the two foci is 2 units.

How many of the statements given above are correct?

A
Only one
B
Only two
C
All three
D
None
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If any point on a hyperbola is (3tan θ, 2sec θ), then what is the eccentricity of the hyperbola?
A
$\dfrac{3}{2}$
B
$\dfrac{5}{2}$
C
$\dfrac{\sqrt{11}}{2}$
D
$\dfrac{\sqrt{13}}{2}$
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