Q68.The line x = y touches a circle at the point (1, 1). If the circle also passes through the point (1, −3), then its radius is (1) 3√2 (2) 3 (3) 2 (4) 2√2
What This Question Tests
The problem requires finding the equation of a circle given a tangent line and a point of tangency, along with another point the circle passes through. This involves using perpendicularity of radius to tangent and distance formulas.
Concepts Tested
Formulas Used
(x-h)² + (y-k)² = r²
Distance between two points
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
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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.
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.
12.7 — The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
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12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
📋 Question Details
- Chapter
- Circles
- Topic
- Equation of a circle
- Year
- 2019
- Shift
- 10 Apr Shift 1
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (Introduction to circles)
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