Q82.If one of the diameters of the circle ๐ฅ2 + ๐ฆ2 - 2๐ฅ- 6๐ฆ+ 6 = 0 is a chord of another circle '๐ถ', whose center is at 2, 1, then its radius is_____.
What This Question Tests
This question requires finding the center and radius of a given circle, then using the information that its diameter is a chord of another circle to determine the radius of the second circle using geometric properties.
Concepts Tested
Formulas Used
Equation of circle (x-h)^2 + (y-k)^2 = r^2
Center (-g, -f), radius โ(g^2 + f^2 - c) from x^2+y^2+2gx+2fy+c=0
Distance between two points
๐ NCERT Sections This Tests
2.2 โ A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 ยท Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 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.
2.4 โ A Spherical Conductor Of Radius 12 Cm Has A Charge Of 1.6 ร 10โ7C
Physics Class 11 ยท Chapter 2
2.4 A spherical conductor of radius 12 cm has a charge of 1.6 ร 10โ7C 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?
๐ Question Details
- Chapter
- Circles
- Topic
- Properties of circles
- Year
- 2021
- Shift
- 24 Feb Shift 1
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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