1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The area of the region bounded by the parabola y2 = 4kx, where k > 0 and its latus rectum is 24 square units. What is the value of k ?
A
1
B
2
C
3
D
4
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the equation of the parabola with focus (-3, 0) and directrix x - 3 = 0 ?
A
y2 = 3x
B
x2 = 12y
C
y2 = 12x
D
y2 = -12x
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Direction: Consider the following for the next two (02) items that follow.

The two ends of the latus rectum of a parabola are (-2, 4) and (-2, -4).

What is the maximum number of parabolas that can be drawn through these two points as end points of latus rectum?
A
Only one
B
Two
C
Four
D
Infinite
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Direction: Consider the following for the next two (02) items that follow.

The two ends of the latus rectum of a parabola are (-2, 4) and (-2, -4).

Consider the following statements in respect of such parabolas:

1. One of the parabolas passes through the origin (0, 0).

2. The focus of one of the parabolas lies at (-2, 0).

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
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