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Let A = (1,2,3), B = (alpha,4,6) and C =...

Let A = (1,2,3), B = (`alpha`,4,6) and C = (1,2,`beta`) are three vertices of `triangleABC`. If median AD is equally inclined with positive x,y and z axis, then which of the following is/are true
1 ordered pair `(alpha,beta)` is (3,2)
2 coordiantes of D are (2,3,5)
3 equation of median through B is `(X-3)/4= (y-4)/4= (z-6)/7 `
4 equation of median through B is `(x-3)/4=(y-4)/4= (z-6)/5`

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