NDA questions
2827 published questions with worked solutions.
- What is the area of the triangle whose vertices are (0, 7, 10), (-1, 6, 6) and (-4, 9, 6)?
- If O is the origin and P is the point (2, -4, 6), then what is the equation of the plane through P and perpendicular to OP?
- The image of the point P(1, 3, 4) with respect to the plane Ax+By+Cz+D=0 is (-3, 5, 2). If A+B+C=2, then what is D equal to?
- Let a , b , c and d be the vectors. Consider the following : I. ( a b ) ( c d ) II. ( a b ) ( c d ) III. ( a b ) ( c d ) IV. ( a...
- The scalar projection of a = i + j -2 k on b =2 i - j - k is 7/3. What is the value of ?
- How much angle does r =( ) i +( ) j + k make with the positive direction of z-axis?
- Let a and b be unit vectors inclined at 30^ . What is the area of the parallelogram whose sides are represented by the vectors a...
- Let a , b and c be unit vectors such that a b = a c =0. If the angle between b and c is /6, then what is a equal to?
- What is x 1-x^3 ,dx equal to?
- What is _ 0 ^ 1 dx (ax+bx+c)^2 equal to?
- What is e^ x 10 e^x ,dx equal to?
- What is _ 1 ^ 2 x^x(1+ x) ,dx equal to?
- If f(x+y)=f(x)+f(y), then what is _ -1 ^ 1 f(x) ,dx equal to?
- What is the area bounded by y=e^ |x| and the lines |x|=1 and y=0?
- The slope of the tangent to the curve y=f(x) at (x, f(x)) is 2x. If the curve passes through the origin, then what is the area...
- What is the solution of y ,dx-x ,dy-y^2 x ,dx=0?
- What is the differential equation of the family of straight lines passing through the origin?
- What is the degree of the differential equation representing the family of curves y^2= c ,x, where c is a positive parameter?
- What is the domain of the function f(x)= _xe?
- If f(x) is the integral of 1+ ^2x-2 x x ^2x x then what is _ x 0 f'(x) equal to?