List of top Mathematics Questions asked in Assam CEE

The eccentricity of the hyperbola \(\frac{x^2}{16} - \frac{y^2}{9} = 1\) is:

The value of the definite integral \(\int_0^{\pi/2} \frac{\sin x}{\sin x + \cos x} dx\) is:

The angle between the lines whose direction cosines satisfy the equations \(l + m + n = 0\) and \(l^2 = m^2 + n^2\) is:

A box contains \(5\) red and \(4\) black balls. Two balls are drawn one by one without replacement. What is the probability that the second ball is red, given that the first ball drawn was black?

If \(A\) is a square matrix of order 3 such that \(|A| = 4\), then the value of \(|\text{adj}(\text{adj } A)|\) is: