The curve y= ax^2+bx+c passes through the point (1,2). Does it pass through the point (-1,2)
1) For all values f(x)=f(-x)
2) b = 0
1) For all values f(x)=f(-x)
2) b = 0
From 1
since f(x)=f(-x) and f(1)=2..f(-1)=2..hence the curve passes through (-1,2)..sufficient
From 2
since the curve passes through (1,2)
2=a+b+c or a+c=2 as b=0
now f(-1)=a+c=2,,hence he curve passes through (-1,2)..sufficient
Ans option D
