Q66.A circle C1 passes through the origin O and has diameter 4 on the positive x-axis. The line y = 2x gives a chord OA of a circle C1 . Let C2 be the circle with OA as a diameter. If the tangent to C2 at the point A meets the x-axis at P and y-axis at Q, then QA : AP is equal to (1) 1 : 4 (2) 1 : 5 (3) 2 : 5 (4) 1 : 3
What This Question Tests
This question involves finding equations of two circles, then determining the tangent to the second circle at a specific point, and finally using section formula to find the ratio QA:AP.
Concepts Tested
Formulas Used
(x-h)^2 + (y-k)^2 = r^2
Equation of tangent to circle x^2+y^2=r^2 at (x1,y1) is xx1+yy1=r^2
Section formula
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📋 Question Details
- Chapter
- Circles
- Topic
- Equation of circle and tangent to a circle
- Year
- 2022
- Shift
- 27 Jul Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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