Mathematics NDA/NA SOLVED PAPER 2019 (II) (51 to 100)

Total Questions: 50

1. The equation ax + by + c = 0 represents a straight line:

Correct Answer: (d) only when at least one of a and b is non-zero
Solution:The equation ax + by + c = 0 represents a straight line only when at least one of a and b is non zero.

2. What is the angle between the lines x cos α + y sin α = a and x sin β - y cos β = a?

Correct Answer: (d)
Solution:

3. Simplify the question?

Correct Answer: (a)
Solution:

4. An equilateral triangle has one vertex at (−1, -1) and another vertex at (-√3,√3). The third vertex may lie on

Correct Answer: (c) (1, 1)
Solution:

5. Find the answer of given question?

Correct Answer: (b) 1/√2
Solution:

6. Simplify the question:

Correct Answer: (d)
Solution:

7. Simplify the equation?

Correct Answer: (b) (2, 5, 5)
Solution:

8. Answer the following question?

Correct Answer: (d) 7
Solution:

9. A straight line passes through the point (1, 1, 1) makes an angle 60° with the positive direction of Z-axis, and the cosine of the angles made by it with the positive directions of the Y - axis and the X - axis are in the ratio √3 : 1. What is the acute angle between the two possible positions of the line?

Correct Answer: (b) 60°
Solution:

10. If the points (x, y, -3), (2, 0, -1) and C (4, 2, 3) lie on a straight line, then what are the values of x and y respectively?

Correct Answer: (a) 1 -1
Solution: