Q71.Two tangents are drawn from a point (−2, −1) to the curve, y2 = 4x. If α is the angle between them, then |tan α| is equal to: (1) 1 (2) 1 3 √3 (3) √3 (4) 3 y2
What This Question Tests
This question requires finding the centers and radii of two given circles and then using the relationship between the distance between their centers and their radii to determine the number of common tangents.
Concepts Tested
Formulas Used
Equation of circle: (x-h)^2 + (y-k)^2 = r^2
Distance between two points: sqrt((x2-x1)^2 + (y2-y1)^2)
Conditions for number of common tangents based on d, r1, r2
📚 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.
2.3 — Two Charges 2 Mc And –2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 · Chapter 2
2.3 Two charges 2 mC and –2 mC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?
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.
📋 Question Details
- Chapter
- Circles
- Topic
- Common tangents to two circles
- Year
- 2014
- Shift
- 12 Apr Online
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (circles part), Class 12 Mathematics Ch 10: Vectors and 3D Geometry (distance formula)
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