Mathematics Tes...

The length of the perpendicular from the origin to a line is 7 and the line makes an angle of 150 degrees with the positive direction of the y-axis then, the equation of a line is:

Riya and Kajal are friends. Probability that both will celebrate the birthday on the same day is :

Solve the differential equation \(x d y-2 y d x=0\)

The number of values of \(c\) such that the straight line \(y=4 x+c\) touches the curve \(\frac{x^{2}}{4}+y^{2}=1\) is:

A survey shows that 63% of the Americans like cheese, whereas 76% like apples. If x% of the Americans like both cheese and apples, then:

\(\frac{\cot \theta}{\cot \theta-\cot 3 \theta}+\frac{\tan \theta}{\tan \theta-\tan 3 \theta}\) is equal to:

In the given figure, \(\mathrm{O}\) is the centre of the circle and \(\mathrm{L}\) and \(\mathrm{M}\) are the mid points of \(\mathrm{A B}\) and \(\mathrm{CB}\) respectively. If \(\mathrm \angle {O A B}=\angle{O C B}\), then:

In Daya's bag, there are \(3\) books of History, \(4\) books of Science and \(2\) books of Maths. In how many ways can Daya arrange the books so that all the books on the same subject are together?

\(\sin 2 \mathrm{~A}=2 \sin \mathrm{A}\) is true when \(\mathrm{A}=\)