The set of all values of $a$ such that both the points $(1,2)$ and $(3,4)$ lie on the same side of the line…

The set of all values of $a$ such that both the points $(1,2)$ and $(3,4)$ lie on the same side of the line $3 x-5 y+a=0$
  1. $\{x \in \mathrm{IR}: x>11\}$
  2. $\{x \in \mathrm{IR}: x>11\} \cup\{x \in \mathrm{IR}: x < 7\}$
  3. $\{x \in \mathrm{IR}: x < 7\}$
  4. $\phi$

Solution

$(a-7)(a-11)>0$ $a < 7$ and $a>11$

Asked in: AP EAMCET 2017 (26 Apr Shift 1)

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