JEE Advanced Mathematics question

is a quadrilateral in which a circle is inscribed. STATEMENT-1: The lengths of the sides of the quadrilateral can be in AP. STATEMENT-2: The lengths of tangents from an external point to a circle are equal.

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1Correct
(B)Statement-1 is True, Statement-2 is True; Statement-2 is *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

Answer: (A)

Solution

*(Figure: quadrilateral with an inscribed circle touching AB, BC, CD, DA at ; tangent lengths from are .)*

- **Statement-2:** Standard theorem. **True.** - Using it: , , , . Hence

AB + CD = (a + b) + (c + d) = (b + c) + (d

See the full step-by-step solution

Create a free account to read the complete working (5 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-110318