NDA Mathematics 4 September 2022 | Parabola Question 4 | Mathematics

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 ?

p = q

p = $\sqrt{3}$q

p = 2$\sqrt{3}$q

2$\sqrt{3}$p = q

NDA Mathematics 10 April 2022

MCQ (Single Correct Answer)

+2.5

-0.83

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 ?

NDA Mathematics 10 April 2022

MCQ (Single Correct Answer)

+2.5

-0.83

What is the equation of the parabola with focus (-3, 0) and directrix x - 3 = 0 ?

y² = 3x

x2 = 12y

y2 = 12x

y2 = -12x

NDA Mathematics 14 November 2021

MCQ (Single Correct Answer)

+2.5

-0.83

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?

Only one

Two

Four

Infinite

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Questions Asked from Marks 2.5

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