By using two non-zero number a and b , `3xx3` determinant is formed , how many of them are zero.

A non-zero complex number z is uniquely determined if

Let x be a non-zero real number. A determinant is chosen from the set of all determinants of order 2 with entries x or -x only. The probability that the value of the determinant is non-zero is

Let x be a non-zero real number. A determinant is chosen from the set of all determinants of order 2 with entries x or -x only. The probability that the value of the determinant is non-zero is

Find the number of 5 digited numbers that can be formed using the digits 2,2,3,3,4. How many of them are greater than 30000.

For any two non-zero vectors a and b, |a|b+|b|a and |a|b-|b|a are

If a number ends with 3 zeroes, how many zeroes will its square have ?

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

The sum of two non - zero numbers in 12. The minimum sum of their reciprocals is …………