How to solve CAT 2024 Slot 2 - Quant Question 2?

This question can be solved by applying the core concept explained in the solution above, followed by step-by-step calculation and elimination of options.

Which concept is tested in this question?

This question tests fundamental concepts commonly asked in CAT exams.

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CAT 2024 - Slot 2 Quant Question 2

This is a detailed step-by-step solution for CAT 2024 - Slot 2 Quant Question 2. Understand the concept, common mistakes, and expert tips to solve similar questions in CAT exam.

CAT 2024 Slot 2 - Quant

Upon drawing a rough sketch of the coordinates given, we realise that this is a right-angled triangle.

The three side lengths are 6, 8 and 10 units
The inradius of a circle can be calculated using the formula: rs = Area, where s is the semi-perimeter of the triangle
The Area would be 1/2 × 6 × 8 = 24
And the semi-perimeter would be

Giving the inradius to be 24/12 = 2 units

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