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Question: The intercepts on the straight line y = mx by the lines y = 2 and y = 6 is less than 5 then m belong...

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

A

(43,43)\left( - \frac { 4 } { 3 } , \frac { 4 } { 3 } \right)

B

(43,38)\left( \frac { 4 } { 3 } , \frac { 3 } { 8 } \right)

C

(43,)\left( \frac { 4 } { 3 } , \infty \right)

D

(43,)\left( \frac { 4 } { 3 } , \infty \right)

Answer

(43,43)\left( - \frac { 4 } { 3 } , \frac { 4 } { 3 } \right)

Explanation

Solution

P , Q (6m,6)\left( \frac { 6 } { m } , 6 \right)

(6m2m)2+16<5\sqrt { \left( \frac { 6 } { m } - \frac { 2 } { m } \right) ^ { 2 } + 16 } < 5 .