List of top Mathematics Questions asked in CBSE Class XI

If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadratic equation.

If f is a function satisfying \(f (x +y) = f(x) f(y)\text{ for all}\, x, y ∈ N\) such that f(1) = 3 and \(∑_{x = 1}^n f(x) = 120 \), find the value of n.

Evaluate the Given limit: \(\lim_{x\rightarrow \pi}\) \(\frac{sin(\pi-x)}{\pi(\pi-x)}\)

A coin is tossed twice, what is the probability that atleast one tail occurs?

Let \(f={(x,\frac {x^2}{1+x^2}):x∈R}\)  be a function from R into R. Determine the range of f.

The relation f is defined by

\(f(x) =   \begin{cases}     x^2,       & \quad  0≤x≤3\\     3x,  & \quad  3≤x≤10 \end{cases}\)
The relation g is defined by
\(g(x) =   \begin{cases}     x^2,       & \quad  0≤x≤2\\     3x,  & \quad  2≤x≤10 \end{cases}\)
Show that f is a function and g is not a function.

The hypotenuse of a right-angled triangle has its ends at the points (1, 3) and (-4, 1). Find the equation of the legs (perpendicular sides) of the triangle.

How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated?

In how many of the distinct permutations of the letters in MISSISSIPPI do the four I's not come together?

Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a1 = a2 = 2, an = an-1 -1, n > 2.