Q63.Let the tangents at two points A and B on the circle x2 + y2 −4x + 3 = 0 meet at origin O(0, 0). Then the area of the triangle of OAB is (1) 3√3 (2) 3√3 2 4 (3) 3 (4) 3 2√3 4√3
What This Question Tests
This question requires finding the equation of the chord of contact from an external point to a circle, determining the points of tangency, and then calculating the area of the triangle formed by these points and the external point.
Concepts Tested
Formulas Used
Equation of circle: (x-h)²+(y-k)²=r²
Chord of contact T=0 (xx₁+yy₁+g(x+x₁)+f(y+y₁)+c=0)
Distance between two points
Area of triangle = 1/2 |x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)|
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📋 Question Details
- Chapter
- Circles
- Topic
- Tangents to a circle, chord of contact, area of triangle
- Year
- 2022
- Shift
- 28 Jul Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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