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Manipal MET2016MathematicsStraight Lines

The intercepts on the straight line y=m x by the line y=2 and y=6 is less than 5, then m belongs to

Options

  1. A[- 4 3 , 4 3 ]
  2. B[ 4 3 , 3 8 ]
  3. C[- ,- 4 3 [ ] 4 3 , ]
  4. D[ 4 3 , ]

Correct answer

C. [- ,- 4 3 [ ] 4 3 , ]

Step-by-step solution

Given lines are y=m x, y=2 and y=6 . Here, coordinates of points A and B are ( 2 m , 2 ) , ( 6 m , 6 ) , respectively. A B= ( 2 m - 6 m )^2+(2-6)^2 5 [given] array ll & ( 2 m - 6 m )^2+(4)^2 25 & ( 2 m - 6 m )^2 9 array aligned & -3 2 m - 6 m 3 - 4 3 m 4 3 & m [- ,- 4 3 [ ] 4 3 , ] aligned

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