HSC Commerce (English Medium) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

If w is a complex cube-root of unity, then prove the following:

(ω² + ω − 1)³ = −8

If w is a complex cube root of unity, show that `((a + bw + cw^2))/(c+aw+bw^2) = w^2`

If w is a complex cube root of unity, show that `((a+bw+cw^2))/(c+aw+bw^2) =w^2`

If ω is a complex cube root of unity, then prove the following.

(ω² + ω −1)³ = −8

If ω is a complex cube-root of unity, then prove the following:

(a + b) + (aω + bω²) + (aω² + bω) = 0

If w is a complex cube root of unity, show that `((a + bω + cω^2))/(c + aω + bω^2) = ω^2`

If ω is a complex cube-root of unity, then prove the following:

(ω² + ω −1)³ = −8

If ω is a complex cube-root of unity, then prove the following :

(ω² + ω − 1)³ = − 8

Find the value of `sqrt(-3) xx sqrt(-6)`.

If w is a complex cube-root of unity, then prove the following

(w² + w - 1)³ = - 8

If ω is a complex cube-root of unity, then prove the following:

(ω² + ω − 1)³ = −8

 Find the value of `sqrt(-3)xx sqrt (-6)`

If w is a complex cube root of unity, show that `((a+bw+cw^2))/(c+aw+bw^2) = w^2`

If w is a complex cube root of unity, show that `((a + bw + cw^2))/(c + aw + bw^2) = w^2`

If w is a complex cube root of unity, show that `((a+bw+cw^2))/(c+aw+bw^2)=w^2`

If w is a complex cube-root of unity, then prove the following. 

(w² + w - 1)³ = - 8

If w is a complex cube root of unity, show that `((a + bomega + comega^2))/(c + aomega + bomega^2) = w^2`

If ω is a complex cube root of unity, show that `((a + bomega + comega^2))/(c + aomega + bomega^2)=omega^2`

If ω is a complex cube root of unity, show that `((a + b\omega + c\omega^2))/(c + a\omega + b\omega^2) = \omega^2`

If ω is a complex cube-root of unity, then prove the following.

(ω² + ω − 1)³ = −8