Q64.If the locus of the mid-point of the line segment from the point (3, 2) to a point on the circle, x2 + y2 = 1 is a circle of radius r, then r is equal to (1) 1 (2) 1 4 (3) 1 (4) 1 3 2
What This Question Tests
This question tests the ability to find the locus of the midpoint of a line segment, where one endpoint is fixed and the other moves on a given circle, and then identify the radius of the resulting circle.
Concepts Tested
Formulas Used
((x1+x2)/2, (y1+y2)/2)
(x-h)^2 + (y-k)^2 = r^2
📚 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?
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2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
📋 Question Details
- Chapter
- Circles
- Topic
- Locus of a point
- Year
- 2021
- Shift
- 26 Feb Shift 2
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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