Mathematics Tes...

The least positive integral value of \(m\), if \(\left(\frac{1+i}{1-i}\right)^{m}=1\) is:

If the roots of the equation a(b - c)x² + b(c - a)x + c(a - b) = 0 are equal, then which one of the following is correct?

In how many ways can we select 6 people out of 10, of which a particular person is not included?

Find the equation of line through (-4,1,3) and parallel to the plane \(x+y+z=3\) while the line intersects another line whose equation is \(x+y-z=0=x+2 y-3 z+5\):

If the sum of first n terms of a series is (n + 12), then what is its third term?

In an entrance test, there are multiple-choice questions, with four possible answers to each question of which one is correct, The probability that a student knows the answer to a question is \(90 \%\), If the student gets the correct answer to a question, then the probability that he was guessing is:

The order of the differential equation:

\(\frac{\mathrm{d}^{3} \mathrm{y}}{\mathrm{dx}^{3}}+\mathrm{y} \frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}-\sin ^{-1} \frac{\mathrm{dy}}{\mathrm{dx}}-\frac{\mathrm{x}^{2}}{\mathrm{y}}=0\)

The general solution y(x) of the differential equation 

\(\frac{{dy}}{{dx}}=\frac{{x} \sqrt{1-{y}^{2}}}{{y} \sqrt{1-{x}^{2}}}\)