Q71.If a circle passing through the point (−1, 0) touches y-axis at (0, 2), then the x-intercept of the circle is (1) 5 (2) 5 2 (3) 3 (4) 3 2
What This Question Tests
The problem requires setting up the general equation of a circle given that it touches the y-axis at a specific point, then using another point it passes through to find the circle's parameters, and finally determining its x-intercept.
Concepts Tested
Formulas Used
Equation of circle: (x-h)^2 + (y-k)^2 = r^2
Circle touching y-axis at (0, k) has center (r, k) or (-r, k)
📚 NCERT Sections This Tests
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2.4 A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field (a) inside the sphere (b) just outside the sphere (c) at a point 18 cm from the centre of the sphere?
📋 Question Details
- Chapter
- Circles
- Topic
- Equation of a circle
- Year
- 2015
- Shift
- 11 Apr Online
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (Circles)
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