NDA questions
2295 published questions with worked solutions.
- Consider the following statements : 1. A=(A B) (A-B) 2. A (B-A)=(A B) 3. B=(A B)-(A-B) Which of the statements given above are...
- What is 2 ( 12 ^ -1 5 3 ) equal to?
- If ^ -1 p- cosec ^ -1 q=0, where p>0, q>0; then what is the value of p^ -2 +q^ -2 ?
- What is 1+ ^2 ( ^ -1 ( 3 17 ) ) equal to?
- If ( )= ( ), 0< < 2 ; then what is the value of 8 ^2 ( + 4 )?
- If = 17, = 1 10 ; 0< , < 2 , then what is the value of ( +2 )?
- If f(x)=| |x|| where 0<x<1, then what is f'(0.5) equal to?
- If f'(x)= ( x) and y=f ( 2x-3 x ), then what is dy dx equal to?
- What is _0^ 8 | x| ,dx equal to?
- What is the area between the curve f(x)=x|x| and x-axis for x [-1, 1]?
- What are the order and the degree respectively of the differential equation x^2 ( d^3y dx^3 )^2+ ( dy dx )^4+ x=0?
- What is the differential equation of all parabolas of the type y^2=4a(x-b)?
- What is the equation of directrix of parabola y^2=4bx, where b<0 and b^2+b-2=0?
- The points (-a, -b), (0, 0), (a, b) and (a^2, ab) are :
- Given that 16p^2+49q^2-4r^2-56pq=0. Which one of the following is a point on a pair of straight lines (px+qy+r)(px+qy-r)=0?
- If 3x+y-5=0 is the equation of a chord of the circle x^2+y^2-25=0, then what are the coordinates of the mid-point of the chord?
- Consider the following statements in respect of hyperbola x^2 ^2 - y^2 ^2 =1 : 1. The two foci are independent of . 2. The...
- Consider the following in respect of the circle 4x^2+4y^2-4ax-4ay+a^2=0 : 1. The circle touches both the axes. 2. The diameter of...
- For what values of k is the line (k-3)x-(5-k^2)y+k^2-7k+6=0 parallel to the line x+y=1?
- The line x+y=4 cuts the line joining P(-1, 1) and Q(5, 7) at R. What is PR:RQ equal to?