NDA questions
2827 published questions with worked solutions.
- In the parabola y^2=8x, the focal distance of a point P lying on it is 8 units. Which of the following statements is/are correct?...
- What is the eccentricity of the ellipse if the angle between the straight lines joining the foci to an extremity of the minor...
- Let a = i - j + k and b = i +2 j - k . If a ( b a )= i - j + k , then what is the value of + + ?
- If a vector of magnitude 2 units makes an angle 3 with 2 i , 4 with 3 j and an acute angle with 4 k , then what are the...
- For any vector r , what is ( r i )( r i )+( r j )( r j )+( r k )( r k ) equal to?
- Let a and b are two vectors of magnitude 4 inclined at an angle 3 , then what is the angle between a and a - b ?
- Let y_1(x) and y_2(x) be two solutions of the differential equation dy dx =x. If y_1(0)=0 and y_2(0)=4, then what is the number...
- The differential equation, representing the curve y=e^x(a x+b x) where a and b are arbitrary constants, is
- If f(x)=ax-b and g(x)=cx+d are such that f(g(x))=g(f(x)), then which one of the following holds?
- What is _ -1 ^ 1 (3 x- 3x) ^2x ,dx equal to?
- What are the order and degree respectively of the differential equation 2- ( dy dx )^2 ^ 0 6 = d^2y dx^2 ?
- If dy dx =2e^xy^3, y(0)= 1 2 then what is 4y^2(2-e^x) equal to?
- Let p= _ a ^ b f(x) ,dx and q= _ a ^ b |f(x)| ,dx. If f(x)=e^ -x , then which one of the following is correct?
- What is _ 0 ^ 2 a+ x 2a+ x+ x ,dx equal to?
- The non-negative values of b for which the function 16x^3 3 -4bx^2+x has neither maximum nor minimum in the range x>0 is
- Which one of the following is correct in respect of f(x)= 1 |x|-x and g(x)= 1 x-|x| ?
- A bag contains 5 black and 4 white balls. A man selects two balls at random. What is the probability that both of these are of...
- If a random variable (x) follows binomial distribution with mean 5 and variance 4, and 5^ 23 P(X=3)= 4^ , then what is the value...
- From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as y=a+bx, then what is the value of...
- Let x+2y+1=0 and 2x+3y+4=0 are two lines of regression computed from some bivariate data. If is the acute angle between them,...