Mathematics Tes...

Find the cube root of (54 + 30√3) .

If a, b are irrational roots of lx² + mx + n = 0 (l, m, n ^∈ Q), then

The line drawn from (4,−1,2)4 to the point (−3, 2,3) meets a plane at right angles at the point (−10,5,4), then the equation of plane is

Directions: In the question given below, there are two statements labelled as Assertion (A) and Reason (R). Which of the following is correct?

Assertion (A): The polynomial x² + 1 has no zero in the real number system.

Reason (R): A polynomial with coefficients which are complex numbers has all its zeroes in the complex number system.

A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is

If the arithmetic mean of two unequal real numbers a and b (a > b) is three times their geometric mean, then a : b is

Which of the following is logically equivalent to ~(~p⇒q)