NDA questions
2295 published questions with worked solutions.
- If z=x+iy, where i= -1 , then what does the equation z z +|z|^2+4(z+ z )-48=0 represent?
- Which one of the following is a square root of 2a+2 a^2+b^2 , where a, b R and i= -1 ?
- If and are the roots of the equation ax^2+bx+c=0, then which one of the following is correct?
- If C(n, 4), C(n, 5) and C(n, 6) are in AP, then what is the value of n?
- Suppose 20 distinct points are placed randomly on a circle. Which of the following statements is/are correct? 1. The number of...
- How many terms are there in the expansion of ( a^2 b^2 + b^2 a^2 +2 )^ 21 where a 0, b 0?
- For what values of k is the system of equations 2k^2x+3y-1=0, 7x-2y+3=0, 6kx+y+1=0 consistent?
- The inverse of a matrix A is given by bmatrix -2 & 1 3 2 & - 1 2 bmatrix What is A equal to?
- What is the period of the function f(x)= (2+ ^2x)?
- If (A+B)=1 and 2 (A-B)=1, where 0<A, B< 2 , then what is A: B equal to?
- Consider the expansion of (1+x)^n. Let p, q, r and s be the coefficients of first, second, nth and (n+1)th terms respectively....
- Let ^ -1 x+ ^ -1 y+ ^ -1 z= 3 2 for 0 x, y, z 1. What is the value of x^ 1000 +y^ 1001 +z^ 1002 ?
- Let x+ y= x+ y for all x, y R . What is ( x 2 + y 2 ) equal to?
- Let A= bmatrix 0 & 2 -2 & 0 bmatrix and (mI+nA)^2=A where m, n are positive real numbers and I is the identity matrix. What is...
- What is the value of the following? [ ^ -1 3 5 + ^ -1 3 2 ]
- Let 4 ^2x=3, where 0 x . What is 3x equal to?
- Let p, q and 3 be respectively the first, third and fifth terms of an AP. Let d be the common difference. If the product (pq) is...
- Consider the following statements in respect of the roots of the equation x^3-8=0 : 1. The roots are non-collinear. 2. The roots...
- Let the equation x cosec ,x=p have a solution, where p is a positive real number. What should be the smallest value of p?
- For what value of , where 0< < 2 , does + attain maximum value?