यदि `alpha` तथा `beta` इकाई के काल्पनिक घनमूल हैं और x = a+b, `y = aalpha + b beta, z = abeta + balpha`, तब xyz का मान होगा

If alpha" and "beta are complex cube roots of unity and x=a alpha+ b beta, y= a+b, z= a beta+b alpha , then xyz is equal to

For alpha and beta both being acute angles, it is given that sin (alpha+beta)=1, cos (alpha-beta)=1/2 . The value of alpha and beta are: alpha और beta दोनों न्यून कोण है, और यह दिया गया है कि sin (alpha+beta)=1, cos (alpha-beta)=1/2 है। तो alpha और beta का मान क्या होगा?

For alpha and beta both being acute angles, it is given that sin(alpha + beta) = 1,cos (alpha-beta)=1/2 . The values of alpha and beta are: यदि alpha और beta दोनों न्यून कोण है तथा यह दिया गया है कि sin(alpha + beta) = 1,cos (alpha-beta)=1/2 है, तो alpha और beta के मान ज्ञात करें |

If alpha,beta are complex cube roots of unity and x=a+b , y=aalpha+bbeta , z=abeta+balpha , then the value of (x^(3)+y^(3)+z^(3))/(xyz) is:

If x = a + b, y =alpha a + beta b and z = a beta + b alpha , where alpha and beta are complex cube roots of unity, then show that xyz = a^3 + b^3 .

If alpha+beta=90^@ , and alpha=2 beta , then the value of 3 cos^2 alpha-2 sin^2 beta is: यदि alpha+beta=90^@ , और alpha=2 beta , तो 3 cos^2 alpha-2 sin^2 beta का मान ज्ञात करें:

If x = a + b , y = a alpha + b beta , z = a beta + b alpha where alpha and beta are complex cube roots of unity , show that x^(3) +y^(3) + z^(3) = 3 (a^(3)+ b^(3))

The point of intersection of the graphs of the equations 3x-5y=19 and 3y-7x+1=0 is P (alpha, beta) . What is the value of (3 alpha- beta) ? समीकरण 3x-5y=19 तथा 3y-7x+1=0 के आरेखों का प्रतिच्छेद बिंदु P (alpha, beta) है | (3 alpha- beta) का मान क्या है?

If x=a+b, y=a alpha + beta b and z=a beta +b alpha where alpha and beta are complex cube roots of unity then show that xyz = a^3 + b^3 .