f ( x ) be a polynomial in x satisfying the condition f ( x ) f ( x 1 ) = f ( x ) + f ( x 1 ) and f ( 2 ) = 9 . Then the direction cosines of the ray joining the origin and the point ( f ( 0 ) , f

Question

f ( x ) be a polynomial in x satisfying the condition f ( x ) f ( x 1 ​ ) = f ( x ) + f ( x 1 ​ ) and f ( 2 ) = 9 . Then the direction cosines of the ray joining the origin and the point ( f ( 0 ) , f ( 1 ) , f ( − 1 )) are given by

TestHub · Accepted Answer

f ( x ) = x n + 1 , and f ( 2 ) = 9 gives f ( x ) = x 3 + 1 . So f ( 0 ) = 1 , f ( 1 ) = 2 , f ( − 1 ) = 0 . The d.c.'s of the ray joining (0, 0, 0) and (1, 2, 0) are ( 5 ​ 1 ​ , 5 ​ 2 ​ , 0 ) .

Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

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