List of top Mathematics Questions asked in CBSE Class XI

Express the given complex number in the form \(a + ib: 3(7 + i7) + i(7 + i7)\)
Evaluate \(\frac{n!}{\left(n-r\right)!}\), when 
(i) n = 6, r = 2 (ii) n = 9, r = 5

Find the values of other five trigonometric functions if  \(cot\,x=\frac{3}{4},\) x lies in third quadrant

Find the values of other five trigonometric functions if  \(sec\, x=\frac{13}{5}\), x lies in fourth quadrant.

Express the given complex number in the form \(a + ib: (\dfrac{1}{5}+i\dfrac{2}{5})-(4+i\dfrac{5}{2})\)

 

 

Find the values of other five trigonometric functions if  \(tan\, x=-\frac{5}{12}\), x lies in second quadrant.

Find the value of the trigonometric function sin 765°
Express the given complex number in the form \(a + ib: [(\dfrac{1}{3}+i\dfrac{7}{3})+(4+i\dfrac{1}{3})]-(-\dfrac{4}{3}+i)\)
Find the value of the trigonometric function cosec (-1410°)
Find the value of the trigonometric function tan \(\frac{19π}{3}.\)
Find the value of the trigonometric function cot \((-\frac{15π}{4})\)
Express the given complex number in the form \(a + ib: (1 - i)^{4}\)
How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?
How many 4-digit numbers are there with no digit repeated?
Express the given complex number in the form \(a + ib: (\dfrac{1}{3}+3i)^3\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = n (n + 2).
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = \(\frac {n}{n} + 1\)
Express the given complex number in the form\( a + ib: (-2-\dfrac{1}{3}i)^3\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = 2n.
How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
Find the value of the trigonometric function \(sin (-\frac{11π}{3}).\)
Find the multiplicative inverse of the complex number \( 4 - 3i\)
Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?

Prove that. \(sin^2 \frac{π}{6}+cos^2 \frac{π}{3}–tan^2 \frac{π}{4}=-\frac{1}{2}\)

Prove that.  \(2sin^2 \frac{π}{6}+cosec^2 \frac{7π}{6}–cos^2 \frac{π}{3}=\frac{3}{2}\)