Mathematics Tes...

In how many different ways can the letters of the word WINDOW be arranged in such a way that the vowels never come together?

What is the equation of line passing through (0, 1) and making an angle with the y-axis equal to the inclination of the line x - y = 4 with x-axis?

A card is drawn from a pack of well-shuffled cards. What is the probability of it being a black face card?

The solution to the differential equation dy = (1 + y²) dx is:

How many 3 -digit numbers can be formed without using the digits 0,2,3,4,5 and 6?

The coefficient of \(x^{5}\) in the expansion of \((1+x)^{21}+(1+x)^{22}+\ldots+(1+x)^{30}\) is

A rod of length \(12 ~cm\) moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point \(P\) on the rod, which is \(3 ~cm\) from the end in contact with the \(x\)-axis.

Find the roots of the equation \(5 x^2-6 x-2=0\) by the method of completing the square.

Marks obtained by a student in a test is shown in the table below.

What is the probability that the student has scored more than \(80\)?