1
NDA Mathematics 21 April 2024
+2.5
-0.83

In the parabola $y^2 = 8x$, the focal distance of a point P lying on it is 8 units. Which of the following statements is/are correct?

1. The coordinates of $P$ can be $\left(6, 4\sqrt{3}\right)$.

2. The perpendicular distance of $P$ from the directrix of parabola is 8 units.

Select the correct answer using the code given below:

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

2
NDA Mathematics 3 September 2023
+2.5
-0.83
What is the equation of directrix of parabola y2 = 4bx, where b < 0 and b2 + b - 2 = 0?
A
x + 1 = 0
B
x - 2 = 0
C
x - 1 = 0
D
x + 2 = 0
3
NDA Mathematics 4 September 2022
+2.5
-0.83
An equilateral triangle is inscribed in a parabola x2 = $\sqrt{3}$y where one vertex of the triangle is at the vertex of the parabola. If p is the length of side of the triangle and q is the length of the latus rectum, then which one of the following is correct ?
A
p = q
B
p = $\sqrt{3}$q
C
p = 2$\sqrt{3}$q
D
2$\sqrt{3}$p = q
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