NDA Maths Mock Test – 03

Question: If the system of equations \(x – ky – z = 0\), \(kx – y – z = 0\)

Question: If the coefficients of \(T_r, T_{r+1}, T_{r+2}\) terms of \((1+x)^{14}\) are in A.P., then \(r =\) यदि \((1+x)^{14}\) के

Question: Coefficient of \(x\) in the expansion of \(\left(x^2 + \frac{a}{x}\right)^5\) is: \(\left(x^2 + \frac{a}{x}\right)^5\) के विस्तार में \(x\) का

Question: There are 9 chairs in a room on which 6 persons are to be seated, out of which one

Question: The number of ways in which any four letters can be selected from the word ‘CORGOO’ is: ‘CORGOO’ शब्द

Question: A minimum value of \(\int_x^1 t e^{-t^2}\,dt\) is: \(\int_x^1 t e^{-t^2}\,dt\) का एक न्यूनतम मान है: Options: 1 2

Question: The minimum value of \(\frac{\log x}{x}\) in the interval \([2, \infty)\) is: अंतराल \([2, \infty)\) में \(\frac{\log x}{x}\) का

Question: What is the solution of the differential equation \(\frac{dx}{dy} = \frac{x+y+1}{x+y-1}\)? अवकल समीकरण \(\frac{dx}{dy} = \frac{x+y+1}{x+y-1}\) का हल क्या

Question: A square matrix A is called orthogonal if: एक वर्ग आव्यूह A लंबकोणीय (orthogonal) कहलाता है यदि: Options: \(A

Question: For a square matrix A, which of the following properties hold? 1. \((A^{-1})^{-1} = A\) 2. \(\det(A^{-1}) = \frac{1}{\det