MHT CET202620 April 2026Evening ShiftMathematicsBasics of MathematicsActual
The statement having truth value 'T' from the following is
Options
- A(x) is an even function.
- BEvery square matrix is non-singular.
- CThe product of complex number and its conjugate is purely imaginary.
- DA square of any real number is non-negative.
Correct answer
D. A square of any real number is non-negative.
Step-by-step solution
Evaluating statement (1): (-x) = - (x) , which means (x) is an odd function. The statement is false. Evaluating statement (2): A square matrix with a zero determinant is a singular matrix. Therefore, not every square matrix is non-singular. The statement is false. Evaluating statement (3): Let a complex number be z = x + iy , its conjugate is z = x - iy . The product z z = (x + iy)(x - iy) = x^2 + y^2 , which is a purely real number. The statement is false. Evaluating statement (4): For any real number x , the squa