Q70.If the tangents at the points P and Q on the circle x2 + y2 −2x + y = 5 meet at the point R( 94 , 2), then the area of the triangle PQR is (1) 5 (2) 13 4 8 (3) 5 (4) 13 8 4
What This Question Tests
The question requires finding the chord of contact from an external point to a circle, calculating the length of the tangent, and then using geometric properties to find the area of the triangle formed by the tangents and chord.
Concepts Tested
Formulas Used
Equation of chord of contact T=0
Length of tangent L = sqrt(S1)
Area of triangle PQR = R * L^3 / (R^2 + L^2)
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📋 Question Details
- Chapter
- Circles
- Topic
- Tangent to a circle
- Year
- 2023
- Shift
- 06 Apr Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (briefly), Class 12 Geometry related concepts for coordinates
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