Answer on Geometry Question for sachin
Let alpha and beta be the angles between the positivedirection of x-axis and lines u and v respectively.
tan(alpha) = A
tan(beta) = B
B/A = 9/2,
On the other hand it by well-known formula
tan(beta-alpha) = [ tan(beta)-tan(alpha) ] / [ 1 +tan(beta)*tan(alpha) ] =
So we get the following system of equations:
B/A = 9/2
From the first one we obtain
B = 9A/2 = 4.5A
Substituting into the second equation we get
B-A = 7(1+AB)/4
4.5A - A = 7(1+ 4.5A^2)/4 14A = 7(1 +4.5A^2)
2A = 1 + 4.5A^2
4.5 A^2 - 2A +1 = 0
9 A^2 - 4A + 2= 0
D = 4^4 - 4*9 =16-36=-20<0
Thus the discriminant of this equation is negative, andtherefore there are no solution.
Thus the situation described in the problem isimpossible.
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