Q66.The line 2x −y + 1 = 0 is a tangent to the circle at the point (2, 5) and the centre of the circle lies on x −2y = 4. Then, the radius of the circle is: (1) 3√5 (2) 5√3 (3) 5√4 (4) 4√5
What This Question Tests
This question tests the properties of a tangent to a circle, specifically that the radius is perpendicular to the tangent at the point of contact, and uses conditions on the center to find the circle's radius.
Concepts Tested
Formulas Used
Equation of line: y - y1 = m(x - x1)
Distance formula for a point and a line
Slope of perpendicular lines m1 * m2 = -1
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
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.
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · 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.
2.4 — A Spherical Conductor Of Radius 12 Cm Has A Charge Of 1.6 × 10–7C
Physics Class 11 · Chapter 2
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
- Coordinate Geometry
- Topic
- Tangent to a circle
- Year
- 2021
- Shift
- 17 Mar Shift 1
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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