List of top Mathematics Questions

Is 3! + 4! = 7! ?
If A = {-1, 1}, find A x A x A.
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm \((Use\,{\pi}=\frac{22}{7}).\)
If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.

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

If \(\frac{1}{6!}+\frac{1}{7!}=\frac{x}{8!}\), find x.
Find the values of other five trigonometric functions if  \(cos\,x=-\frac{1}{2},\) x lies in third quadrant.
Express the given complex number in the form \(a + ib: i^{-39}\)
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 \(a + ib: 3(7 + i7) + i(7 + i7)\)
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 \(a + ib: (\dfrac{1}{3}+3i)^3\)