NDA questions
2295 published questions with worked solutions.
- How many real roots does the equation x^2+3|x|+2=0 have?
- Consider the following statements in respect of the quadratic equation 4(x-p)(x-q)-r^2=0, where p, q and r are real numbers : 1....
- Let S= 2, 4, 6, 8, , 20 . What is the maximum number of subsets does S have?
- If cosec , = 29 21 where 0< <90^ , then what is the value of 4 +4 ?
- Consider the following statements : 1. + can never be equal to 1 5. 2. + can never be less than 2. Which of the above statements...
- What is the length of the chord of a unit circle which subtends an angle at the centre?
- What is 2 ^ -1 ( 1 3 ) equal to?
- What is the scalar projection of a = i -2 j + k on b =4 i -4 j +7 k ?
- Consider the following equations for two vectors a and b : 1. ( a + b ) ( a - b )=| a |^2-| b |^2 2. (| a + b | ) (| a - b | )=|...
- Consider the following statements : 1. The magnitude of a b is same as the area of a triangle with sides a and b 2. If a b = 0...
- If a and b are unit vectors and is the angle between them, then what is ^2 ( 2 ) equal to?
- The equation ax+by+c=0 represents a straight line
- What is the angle between the lines x +y =a and x -y =a?
- What is the distance between the points P(m 2 , m 2 ) and Q(m 2 , m 2 )?
- If the angle between the lines joining the end points of minor axis of the ellipse x^2 a^2 + y^2 b^2 =1 with one of its foci is 2...
- A point on a line has coordinates (p+1, p-3, 2 p) where p is any real number. What are the direction cosines of the line?
- A point on the line x-1 1 = y-3 2 = z+2 7 has coordinates
- If the line x-4 1 = y-2 1 = z-k 2 lies on the plane 2x-4y+z=7, then what is the value of k?
- 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...
- If the points (x, y, -3), (2, 0, -1) and (4, 2, 3) lie on a straight line, then what are the values of x and y respectively?