Suppose `a,x,y,z & b` are in A.P when `x+y+z=15` and `a, alpha, beta, gamma,beta` are in H.P when `1/alpha+1/beta+1/gamma=5/3` then find `a` if `a > b`

Suppose a, x, y, z and b are in A.P. where x + y + z = 15, and a, alpha , beta, gamma, b are in H.P, where 1//alpha + 1//beta + 1//gamma = 5/3. Find a and b

Given that x+y+z =15 when a,x,y,z,b are in A.P and 1/x+1/y+1/z=5/3 when a,x,y,z,b are in H.P .Then

If alpha,beta,gamma are in A.P. show that cot beta=(sin alpha-sin gamma)/(cos gamma-cos alpha)

Evaluate the following: |[1,1,1],[alpha, beta, gamma],[beta gamma, gamma alpha, alpha beta]|

A line makes angles alpha, beta, gamma with X, Y, Z axes respectively. If alpha=beta and gamma=45^(@) , then alpha=

If alpha,beta,gamma "are in A.P. show that" cot beta = (sin alpha - sin gamma)/(cos gamma -cos alpha)

The direction angles of the line x=4z+3, y=2-3z are alpha, beta and gamma , then cos alpha +cos beta+ cos gamma = ____

A line makes angles alpha, beta, gamma with X, Y, Z axes respectively. If alpha=beta and gamma=45^(@) , then alpha+beta+gamma=

If alpha,beta,gamma are the roots of a x^3+b x^2+cx+d=0 and |[alpha,beta,gamma],[beta,gamma,alpha],[gamma,alpha,beta]|=0, alpha!=beta!=gamma then find the equation whose roots are alpha+beta-gamma,beta+gamma-alpha , and gamma+alpha-beta .