Question:
Let A be the centre of the circle \( x^2 + y^2 - 2x - 4y - 20 = 0 \), and B(1, 7) and D(4, -2) are points on the circle then, if tangents are drawn at B and D, which meet at C, then area of quadrilateral ABCD is
Let A be the centre of the circle \( x^2 + y^2 - 2x - 4y - 20 = 0 \), and B(1, 7) and D(4, -2) are points on the circle then, if tangents are drawn at B and D, which meet at C, then area of quadrilateral ABCD is
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For cyclic quadrilaterals, use the known formula involving the vertices to find the area.
Updated On: Jan 12, 2026
- 150
- 75
- 25
- None of these
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The Correct Option is B
Solution and Explanation
Step 1: Use the formula for the area of quadrilateral.
The area of the quadrilateral can be calculated using the formula for a cyclic quadrilateral given its vertices.
Step 2: Conclusion.
Thus, the area of quadrilateral ABCD is 75.
Final Answer: \[ \boxed{75} \]
The area of the quadrilateral can be calculated using the formula for a cyclic quadrilateral given its vertices.
Step 2: Conclusion.
Thus, the area of quadrilateral ABCD is 75.
Final Answer: \[ \boxed{75} \]
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