List of top Mathematics Questions asked in CBSE Class XI

Express the following expression in the form of a + ib.

\(\dfrac{(3+i√5)(3-i√5)}{(√3+√2i)-(√3-i√2)}\)

Find the multiplicative inverse of the complex number \(-i\)

Prove that  \(cot^2 \frac{π}{6}+cosec \frac{5π}{6}+3\,tan^2 \frac{π}{6}=6\)
Find the multiplicative inverse of the complex number \( 4 - 3i\)
Find the value of the trigonometric function \(sin (-\frac{11π}{3}).\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = 2n.
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 = \(\frac {n}{n} + 1\)
Find the value of the trigonometric function cot \((-\frac{15π}{4})\)
Express the given complex number in the form \(a + ib: i^{9} + i^{19}\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = n (n + 2).
Express the given complex number in the form \(a + ib: (\dfrac{1}{3}+3i)^3\)
Express the given complex number in the form \(a + ib: (1 - i)^{4}\)
Find the value of the trigonometric function cosec (-1410°)
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 sin 765°

Find the values of other five trigonometric functions if  \(tan\, x=-\frac{5}{12}\), x lies in second 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  \(sec\, x=\frac{13}{5}\), x lies in fourth quadrant.

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

Express the given complex number in the form \(a + ib: 3(7 + i7) + i(7 + i7)\)
Find the values of other five trigonometric functions if  \(sin\,x=-\frac{3}{5},\) x lies in second quadrant.
Express the given complex number in the form \(a + ib: i^{-39}\)
Express the given complex number in the form \(a + ib : (5i)(-\dfrac{3}{5i})\)

Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length 

(i) 10 cm (ii) 15 cm (iii) 21 cm