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E. Find the ratio in which the surface x2 + y2 + z2 = 25 divides the line segment joining (0,1,2) and (3,4,5). |
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Answer» -step EXPLANATION:answrsearchWhat WOULD you LIKE to ASK?11thMathsIntroduction to Three Dimensional GeometrySection FormulaFind the ratio in which the...MATHSFind the ratio in which the YZ-plane divides the line segment FORMED by joining the points (−2,4,7) and (3,−5,8).EASYShareStudy laterANSWERLet the YZ plane divide the line segment joining points (−2,4,7) and (3,−5,8) in the ratio k:1.Hence, by section formula, the coordinates of point of intersection are given by :( k+1k(3)−2 , k+1k(−5)+4 , k+1k(8)+7 )On the YZ plane, the x-coordinate of any point is zero.k+13k−2 =03k−2=0k= 32 Thus, the YZ plane divides the line segment formed by joining the given points in the ratio 2:3. |
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