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CAT 2018 Slot 1 — QA Question 19

Basics of QuadrilateralsEasy

Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?

Answer & solution

  • A

    24, 12

  • 24, 10

  • C

    25, 10

  • D

    25, 9

Solution

As □ABCD is a rectangle, diagonal AC will be the diameter of the circle

∴ AC = DB = 2 × 13 = 26 cm

⇒ AB2 + BC2 = 262 = 676

Only option (b) satisfies this: (242 + 102) = 676

Hence, option (b).

CAT 2018 Slot 1 QA Q19: Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, — Solution | TheCATExam