Q69.A line drawn through the point P(4, 7) cuts the circle x2 + y2 = 9 at the points A and B. Then PA ⋅PB is equal to. (1) 74 (2) 53 (3) 56 (4) 65
What This Question Tests
This question is a direct application of the power of a point theorem with respect to a circle, requiring minimal calculation.
Concepts Tested
Formulas Used
Power of a point P(x1, y1) with respect to circle x² + y² + 2gx + 2fy + c = 0 is x1² + y1² + 2gx1 + 2fy1 + c
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📋 Question Details
- Chapter
- Circles
- Topic
- Power of a point
- Year
- 2017
- Shift
- 09 Apr Online
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (briefly touched), more typically covered in competitive exam prep
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