Q64.If the tangents drawn at the point O(0, 0) and P(1 + √5, 2) on the circle x2 the point Q, then the area of the triangle OPQ is equal to (1) 3+√5 (2) 4+2√5 2 2 (3) 5+3√5 (4) 7+3√5 2 2
What This Question Tests
This problem involves finding the equations of tangents to a circle, their intersection point, and then calculating the area of the triangle formed by the origin and the two points of tangency and their intersection.
Concepts Tested
Formulas Used
Equation of tangent T=0
Area of triangle = 1/2 |x1(y2-y3) + x2(y3-y1) + x3(y1-y2)|
Distance formula
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📋 Question Details
- Chapter
- Circles
- Topic
- Tangents to a circle
- Year
- 2022
- Shift
- 28 Jun Shift 1
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (briefly), Class 12 Mathematics Ch 10: Vectors and 3D Geometry (for vector approach to area)
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