NDA Mathematics 4 September 2022 | NDA Year Wise Previous Years Questions

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NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

The base AB of an equilateral triangle ABC with side 8 cm lies along the y-axis such that the mid-point of AB is at the origin and B lies above the origin. What is the equation of line passing through (8, 0) and parallel to the side AC ?

x − $\sqrt{3}$y − 8 = 0

x + $\sqrt{3}$y − 8 = 0

$\sqrt{3}$x + y − 8$\sqrt{3}$ = 0

$\sqrt{3}$x − y − 8$\sqrt{3}$ = 0

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

The centre of the circle passing through the origin and making positive intercepts 4 and 6 on the coordinate axes, lies on the line

2x − y + 1 = 0

3x − 2y − 1 = 0

3x − 4y + 6 = 0

2x + 3y − 26 = 0

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

The centre of an ellipse is at (0, 0), major axis is on the y-axis. If the ellipse passes through (3, 2) and (1, 6), then what is its eccentricity ?

$\frac{\sqrt{3}}{2}$

$\sqrt{3}$

$\frac{\sqrt{5}}{2}$

$\sqrt{5}$

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+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 ?

p = q

p = $\sqrt{3}$q

p = 2$\sqrt{3}$q

2$\sqrt{3}$p = q

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