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Statement-1: The quadrilateral whose ver...

Statement-1: The quadrilateral whose vertices (in order) are A(1,0), B(0,3) , C(-2,0) and D(0,2) cannot be convex.
Statement-2: A quadrilateral ABCD ( in order is) is convex if when any diagonal is taken then the remaining vertices must be on the opposite sides of it.

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True, Statement-2 not a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True

Text Solution

Verified by Experts

The correct Answer is:
A
Statement-2 is correct the because ifn one angle, say D of the equadrilaterial ABCD which is not convex is more thant `180^(@)`, then B and D lie on the same side of the diagonal AC.
Statement-2 is true. Also, statement-2 is a correct explanation for statement-1
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