2023 · Q74
Item contains a Question followed by two Statements. Answer each item using the following instructions : Question : Can a circle be drawn through the points A, B and C?
Statement IAB = 5 cm, BC = 5 cm, CA = 6 cm.
Statement IIAB = 3 cm, BC = 4 cm, CA = 7 cm.
Elementary MathematicsGeometry: Lines, Angles and Triangles
- AChoose this option if the Question can be answered by one of the Statements alone but not by the other.
- BChoose this option if the Question can be answered by either Statement alone.
- CChoose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DChoose this option if the Question cannot be answered even by using both Statements together.
Explanation
Statement I (5, 5, 6) satisfies the triangle inequalities, so the points are non-collinear and a circle can be drawn — answered yes alone. Statement II (3, 4, 7) has 3 + 4 = 7, so the points are collinear, and no circle passes through three collinear points — answered no alone. Each statement independently settles the question (B). The stored key (A) is wrong and has been fixed.