NDA questions
2827 published questions with worked solutions.
- 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?
- What is _ 2 ^ 8 |x-5| ,dx equal to?
- What is ^3x x ,dx equal to? (where c is the constant of integration)
- What is e^ ( x) ,dx equal to? (where c is the constant of integration)
- What is _ -1 ^ 1 d dx ( ^ -1 1 x ) dx equal to?
- In which one of the following intervals is the function f(x)=x^2-5x+6 decreasing?
- The differential equation of the family of curves y=p (ax)+q (ax), where p, q are arbitrary constants, is
- The equation of the curve passing through the point (-1, -2) which satisfies dy dx =-x^2- 1 x^3 , is