Question

Q.2 Answer the following questions. 1) Find \( a \) and \( b \) if \( a+7 i=4+b i \quad a= \) 2) Express \( \left(\frac{\pi}{2}\right)^{c} \) in degrees. 3) Express \( \left(120^{\circ}\right) \) in radians. \( 2 \pi / 3 \) 4) Find \( n \), if \( { }^{n} C _{8}={ }^{n} C _{6} \).

Answer 1

(1) Here the given equation is

a + 7i = 4 + bi

Equating real part and imaginary part in both sides of Equation we get

a = 4 , 7 = b

Which gives

a = 4 , b = 7

(3) 

(4) Given ⁿC₈ = ⁿC₆