Question

# If the points $$\displaystyle \left ( 1,2 \right )$$ and $$\displaystyle \left ( 3,4 \right )$$ were to be on the opposite side of the line $$\displaystyle 3x-5y+a=0$$, then

A
7<a<11
B
a=7
C
a=11
D
a<7ora>11

Solution

## The correct option is B $$\displaystyle 7< a< 11$$If the two points are $$(1,2)$$ & $$(3,4)$$ are opposite to line $$3x-5y+a=0$$ then,$$(3\times(1)-5\times(2)+a)(3\times3-5\times4+a)<0$$$$\Rightarrow (a-7)(a-11) <0$$$$\Rightarrow 7<a<11$$Hence, option 'A' is correct.Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More