NDA questions
2295 published questions with worked solutions.
- Into how many compartments do the coordinate planes divide the space?
- What is the equation of the plane which cuts an intercept 5 units on the z-axis and is parallel to xy-plane?
- Let A be a point in space such that | OA |=12, where O is the origin. If OA is inclined at angles 45^ and 60^ with x-axis and...
- Two adjacent sides of a parallelogram are 2 i -4 j +5 k and i -2 j -3 k . What is the magnitude of dot product of vectors which...
- If | a b |^2+| a b |^2=144 and | a |=4, then what is | b | equal to?
- If the vectors a =2 i -3 j + k , b = i +2 j -3 k and c = j +p k are coplanar, then what is the value of p?
- What is _ x 1 x+x^2+x^3-3 x-1 equal to?
- The radius of a circle is increasing at the rate of 0 7 cm/sec. What is the rate of increase of its circumference?
- If _ x 1 x^4-1 x-1 = _ x k x^3-k^3 x^2-k^2 , where k 0, then what is the value of k?
- The order and degree of the differential equation k dy dx = [1+ ( dy dx )^2 ]^ 2 3 dx are respectively
- What is _ x 0 x (1-x) x^2 equal to?
- If f(x)=3x^2-5x+p and f(0) and f(1) are opposite in sign, then which of the following is correct?
- If e^ =c+4 , where c is an arbitrary constant and is a function of , then what is ,d equal to?
- If p(x)=(4e)^ 2x , then what is p(x) ,dx equal to?
- What is the value of _ 0 ^ /4 ( ^3x+ x) ,dx?
- Let y=3x^2+2. If x changes from 10 to 10 1, then what is the total change in y?
- If f(x)= x x , where x R , is to be continuous at x=0, then the value of the function at x=0
- The solution of the differential equation dy=(1+y^2) ,dx is
- What is (e^ x + x) x ,dx equal to?
- What is the domain of the function f(x)= ^ -1 (x-2)?