Question

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. ]$- \frac { 4 } { 3 } , \frac { 4 } { 3 } [$
• B. $] \frac { 4 } { 3 } , \frac { 3 } { 8 } [$
• C. ]$- \infty , - \frac { 4 } { 3 } [ \cup ] \frac { 4 } { 3 } , \infty [$
• D. $] \frac { 4 } { 3 } , \infty [$

Answer 1

Answer: (C)

]$- \infty , - \frac { 4 } { 3 } [ \cup ] \frac { 4 } { 3 } , \infty [$

Answer 2

AB < 5 ; (AB)² < 25 Ž + 16 < 25

+ – – 9 < 0

– 9< 0 Ž 16 – 9m² < 0 Ž 9m² – 16 > 0

(3m – 4) (3m + 4) > 0

m Ī (– , –4/3) Č (4/3, )