Mathematics Tes...

If \(m\) be the slope of a tangent to the curve \(e^{2 y}=1+4 x^{2}\), then -

If A is a square matrix, then what is adj A^T - (adj A)^T equal to?

If tan θ + sec θ = 4, then what is the value of sin θ?

A box contains 2 blue caps, 4 red caps, 5 greens caps, and 1 yellow cap. If four caps are picked at random, the probability that none of them are green is:

Let \(f(x)\) be a continuous function such that the area bounded by the curve \(y=f(x)\), the \(x\) -axis, and the lines \(x=0\) and \(x=a\) is \(1+\frac{a^{2}}{2} \sin a\). Then,

If a matrix A is symmetric as well as skew-symmetric, then:

The solution of differential equation dy = (4+y²)dx is