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

Mathematics

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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

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the points A(2, 4, 6), B(−2, −4, −2), C(4, 6, 4), and D(8, 14, 12). Which of the following statements is/are correct?

1. The points are the vertices of a rectangle ABCD.

2. The mid-point of A C is the same as that of BD.

Select the correct answer using the code given below :

1 only

2 only

Both 1 and 2

Neither 1 nor 2

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