NDA Mathematics 3 September 2023 | NDA Year Wise Previous Years Questions

Mathematics

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

What is the equation of directrix of parabola y2 = 4bx, where b < 0 and b2 + b - 2 = 0?

x + 1 = 0

x - 2 = 0

x - 1 = 0

x + 2 = 0

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

The points (-a, -b), (0, 0), (a, b) and (a2, ab) are:

lying on the same circle

vertices of a square

vertices of a parallelogram that is not a square

collinear

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Given that 16p2 + 49q2 - 4r2 - 56pq = 0. Which one of the following is a point on a pair of straight lines (px + qy + r) (px + qy - r) = 0?

$ \left(2, \frac{7}{2}\right) $

$ \left(2,-\frac{7}{2}\right)$

(4, -7)

(4, 7)

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

If 3x + y - 5 = 0 is the equation of a chord of the circle x2 + y2 - 25 = 0, then what are the coordinates of the mid-point of the chord ?

$ \left(\frac{3}{4}, \frac{1}{4}\right)$

$ \left(\frac{3}{2}, \frac{1}{2}\right) $

$ \left(\frac{3}{4},-\frac{1}{4}\right) $

$ \left(\frac{3}{2},-\frac{1}{2}\right)$