Q65.Let the tangent to the circle C1 : x2 + y2 = 2 at the point M(−1, 1) intersect the circle C2 : (x −3)2 + (y −2)2 = 5 , at two distinct points A and B. If the tangents to C2 at the points A and B intersect at N , then the area of the triangle ANB is equal to (1) 12 (2) 23 (3) 1 (4) 5 6 3
What This Question Tests
This question tests the ability to find the equation of a tangent to a circle, use it to determine the chord of contact for another circle, find the intersection point of tangents, and finally calculate the area of the resulting triangle. It integrates multiple concepts of coordinate geometry.
Concepts Tested
Formulas Used
xx₁ + yy₁ = r²
S₁ = 0 (chord of contact)
Area = (1/2) * base * height
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📋 Question Details
- Chapter
- Circles
- Topic
- Tangents to circles, Chord of contact, Area of triangle
- Year
- 2022
- Shift
- 29 Jun Shift 1
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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