Which of the following given statement(s) is / are TRUE?A: Number of d

1.	Which of the following given statement(s) is / are TRUE?A: Number of diagonals in a polygon of side ‘n’ is given by n (n + 6) / 4.B: Number of diagonals in a polygon of side is 12 are 54.C: Any quadrilateral in which opposite angles are supplementary is called a cyclic quadrilateral.1. A and B2. B and C3. All4. A and C
Answer» Correct Answer - Option 2 : B and C GIVEN: Three statements. CONCEPT: Geometry FORMULA USED: Number of diagonals in a polygon of side ‘n’ is given by n (n - 3) / 2. CALCULATION: A: Number of diagonals in a polygon of side ‘n’ is given by n (n - 3) / 2. B: Number of diagonals in a polygon of side is 12 = 12 (12 - 3) / 2 = (12 × 9) / 2 = 54 C: Any quadrilateral in which opposite angles are supplementary is called a cyclic quadrilateral. Hence, only statements B and C are TRUE.

Which of the following given statement(s) is / are TRUE?A: Number of diagonals in a polygon of side ‘n’ is given by n (n + 6) / 4.B: Number of diagonals in a polygon of side is 12 are 54.C: Any quadrilateral in which opposite angles are supplementary is called a cyclic quadrilateral.1. A and B2. B and C3. All4. A and C

Answer» Correct Answer - Option 2 : B and C

GIVEN:

Three statements.

CONCEPT:

Geometry

FORMULA USED:

Number of diagonals in a polygon of side ‘n’ is given by n (n - 3) / 2.

CALCULATION:

Number of diagonals in a polygon of side ‘n’ is given by n (n - 3) / 2.

Number of diagonals in a polygon of side is 12 = 12 (12 - 3) / 2

= (12 × 9) / 2

= 54

Any quadrilateral in which opposite angles are supplementary is called a cyclic quadrilateral.

Hence, only statements B and C are TRUE.