NDA questions
2295 published questions with worked solutions.
- Consider the following statements : Statement I : If the line segment joining the points P(m, n) and Q(r, s) subtends an angle at...
- What is the area of the triangle with vertices (x_1, 1 x_1 ), (x_2, 1 x_2 ), (x_3, 1 x_3 )?
- If y-axis touches the circle x^2+y^2+gx+fy+ c 4 =0, then the normal at this point intersects the circle at the point
- Let | a | 0, | b | 0. ( a + b ) ( a + b )=| a |^2+| b |^2 holds if and only if
- If r =x i +y j +z k , then what is r ( i + j + k ) equal to?
- A unit vector perpendicular to each of the vectors 2 i - j + k and 3 i -4 j - k is
- If | a |=3, | b |=4 and | a - b |=5, then what is the value of | a + b |?
- What is ( a - b ) ( a + b ) equal to?
- In a triangle ABC, if taken in order, consider the following statements : 1. AB + BC + CA = 0 2. AB + BC - CA = 0 3. AB - BC + CA...
- Let the slope of the curve y= ^ -1 ( x) be . Then the value of in the interval (0, ) is
- If f(x)= x-1 x-4 defines a function on R , then what is its domain?
- Consider the function f(x)= cases 2x 5x & if x 0 2 15 & if x=0 cases Which one of the following is correct in respect of the...
- For the function f(x)=|x-3|, which one of the following is **not** correct?
- If the function f(x)= 2x- ^ -1 x 2x+ ^ -1 x is continuous at each point in its domain, then what is the value of f(0)?
- If f(x)= 25-x^2 , then what is _ x 1 f(x)-f(1) x-1 equal to?
- If y= ^ -1 ( 5-2 x 2+5 x ), then what is dy dx equal to?
- Which one of the following is correct in respect of the function f(x)=x x+ x+ 1 2 ^2x?
- What is _ 0 1- equal to?
- A function f : A R is defined by the equation f(x)=x^2-4x+5 where A=(1, 4). What is the range of the function?
- What is _ a ^ b [x] ,dx+ _ a ^ b [-x] ,dx equal to, where [.] is the greatest integer function?