If the limiting points of coaxial systems defined by the spheres `x^2 + y^2+z^2 + 2x+ 2y +4z+ 2= 0` and `x^2 + y^2 +z

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Q 2117123989.     If the limiting points of coaxial systems defined by the spheres

`x^2 + y^2+z^2 + 2x+ 2y +4z+ 2= 0` and `x^2 + y^2 +z^2 + x+y + 2z+ 2=0` are

`(alpha_1, beta_1 , gamma_1 )`and

`(alpha_2, beta_2, gamma_2)`, then the value of

`1004 | alpha_1 alpha_2+ beta_1 beta_2 + gamma_1 gamma_2 |` must be

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