Mathematics Tes...

The degree of the differential equation:

\(\frac{d^{2} y}{d x^{2}}+3\left(\frac{d y}{d x}\right)^{2}=x^{2} \log \left(\frac{d^{2} y}{d x^{2}}\right)\)

If the sum of the squares of the intercepts on the axes cut off by the tangent to the curve \(x^{1 / 3}+y^{1 / 3}=a^{1 / 3}(a>0)\) at \((\frac{a} { 8}, \frac{a} {8})\) is 2 , then the value of ' \(a\) ' is

The equations of two sides of a variable triangle are \(\mathrm{x}=0\) and \(\mathrm{y}=3\), and its third side is a tangent to the parabola \(y^2=6 x\). The locus of its circumcentre is :

A box contains \(4\) tennis balls, 6 season balls and \(8\) dues balls. \(3\) balls are randomly drawn from the box. What is the probability that the balls are different?

The mean and standard deviation of a binomial distribution are \(12\) and \(2\) respectively. What is the number of trails?

If \(a_n=\sqrt{7+\sqrt{7+\sqrt{7+\ldots . .}}}\) having \(n\) radical signs then by methods of mathematical induction which is true

Find the general solution of given differential equation \(\frac{x d y}{d x}+3 y=4 x^3 ?\)

Find the value of \(i ^{1325}\) where \(i =\sqrt{-1}\).

The value of cosine of the angle between the \(x\) -axis and the vector \(2 \hat{i}+2 \hat{j}+\hat{k}\) is:

Differentiate \(f(x)=e^{a x+b}\) from first principles.