Q.

Consider the following statements:

S1: For the line 2x+3y-7=0, the points origin and (1, 1) are on the same side.

S2: Two points (x1,y1) and (x2,y2) lie on the same side of the line ax+by+c=0 (a,b,c∈R-{0}) if (ax1+by1+c)(ax2+by2+c)>0

1 Both statements are true  
2 Both statements are false  
3 S1 is true and S2 is false  
4 S1 is false and S2 is true  

Ans.

(1)

Substituting the points in the given line gives negative values for both points