Question

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

A

7<a<11

B

7<a<11

C

a=11

D

a<7 or a>11

Solution

## The correct option is D a<7 or a>11 The points $$(x_1,y_1) \space and \space (x_2,y_2)$$ lie on the same side of the line L=0 if L11.L22 >0 Here L=3x−5y+a=0 ⇒ (3−10+a)(9−20+a)>0 ⇒ (a−7)(a−11)>0 ⇒ a<7 or a>11 Mathematics

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