Mathematics Tes...

If \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\), then \(\frac{d y}{d x}=?\)

The derivative of sin^-1 (2x² - 1) w.r.t sin^-1 x is

The approximate change in the volume of a cube of side \(x\) metres caused by increasing the side by \(1 \%\) is:

A basket contains \(6\) blue, \(2\) red, \(4\) green and \(3\) yellow balls. If \(5\) balls are picked up at random, what is the probability that at least one is blue?

If \(C_{0}, C_{1}, C_{2}, \ldots_{-\infty}, C_{n}\) are the coefficients in the expansion of \((1+x)^{n}\), then what is the value of \(C_{1}+C_{2}+C_{3}+\ldots+C_{n} ?\)

What is \(C(n, 1)+C(n, 2)+\cdots+C(n, n)\) equal to:

Find the possible value of \(k\) for which the distance between two plane \(6 x+\) \(3 y-2 z+k=0\) and \(3 x+1.5 y-z+2=0\) is \(5\).

A line segement PQ has the length is 63 and direction ratios are \((3,-2,6)\) if the line makes angle with \(\mathrm{x}\) - axis then components of vector PQ are: