Question

1. which three points are noncollinear? a, c, f a, b, d d, e, f a, b, c 22) name the line.

Explanation:

Collinear points lie on the same straight line. In the given figure, points \(A\), \(B\), and \(C\) are on the same line. Points \(A\), \(C\), \(F\) - \(A\) and \(C\) are on a line, but \(F\) is not. Points \(D\), \(E\), \(F\) - no two of these are on a common line shown. Points \(A\), \(B\), \(D\) - \(A\) and \(B\) are on a line, \(D\) is not. But for non - collinear, we check each option.

• For \(A\), \(B\), \(C\): They are collinear as they lie on the same straight line in the figure.
• For \(A\), \(B\), \(D\): \(A\) and \(B\) are collinear (on the same line), \(D\) is not on that line. But we need three non - collinear.
• For \(D\), \(E\), \(F\): There is no single straight line that passes through all three of these points.
• For \(A\), \(C\), \(F\): \(A\) and \(C\) are collinear, \(F\) is not.

Answer:

D. \(D\), \(E\), \(F\)