NDA questions
2295 published questions with worked solutions.
- If a, b, c are the sides of a triangle ABC and p is the perimeter of the triangle, then what is vmatrix p+c&a&b &p+a&b &a&p+b...
- Which one of the following is the greatest coefficient in the expansion of (1+x)^ 100 ?
- Set X contains 3n elements and set Y contains 2n elements, and they have n elements in common. How many elements does (X-Y) (Y-X)...
- Let A= -3, -2, -1, 0, 1, 2, 3 and B= 0, 1, 4, 9 . How many elements does the subset of A B corresponding to the relation R= (x,...
- Consider the following statements : Statement-I : If X is an n n matrix, then (mX)=m^n (X), where m is a scalar. Statement-II :...
- Consider the following statements about the matrix M= bmatrix 71&23&48 57&28&29 65&17&48 bmatrix : Statement-I : The inverse of M...
- What is ^ -1 9+ cosec ^ -1 ( 41 4 ) equal to?
- How many values of , where - < < , satisfy both the equations =- 3 and cosec , =-2 simultaneously?
- If x+ 1 x =2 , then what is x^3+ 1 x^3 equal to?
- If 0 x 2 , then what is the number of values of x satisfying the equation x+ x=2 x?
- What is the value of [ 1 2 ^ -1 ( 2 3 ) ]?
- For different values of m, the equation 4y=mx-m+2 represents
- The equation of the locus of a point equidistant from the points (a, b) and (c, d) is (a-c)x+(b-d)y+k=0. What is the value of k?
- Consider the following statements in respect of the equation x^2+3y=0 : I. The equation represents the equation to parabola that...
- What is the sum of the intercepts of the line x a^2 + y b^2 = 2 a^2+b^2 on the coordinate axes?
- Which one of the following is the perpendicular form of the straight line 3 x+2y=7?
- If the vertices B and D of a square ABCD are (2, 3) and (4, 1) respectively, then what is the area of the square?
- What is the value of if is the acute angle between the lines whose equations are px+qy=p+q and p(x-y)+q(x+y)=2q?
- The circle x^2+y^2-2kx-2ky+k^2=0 touches the x-axis at P and y-axis at Q. What is PQ equal to?
- What is the distance between the foci of the hyperbola x^2-4y^2=1?