Q66.Let A be the point of intersection of the lines 3x + 2 y = 14, 5 x −y = 6 and B be the point of intersection of the lines 4 x + 3 y = 8, 6 x + y = 5. The distance of the point P(5, −2) from the line AB is (1) 13 (2) 8 2 (3) 5 (4) 6 2
What This Question Tests
This question requires finding intersection points of lines, then determining the equation of the line passing through them, and finally calculating the perpendicular distance from a given point to that line.
Concepts Tested
Formulas Used
ax + by + c = 0
d = |ax_1 + by_1 + c| / sqrt(a^2 + b^2)
📚 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?
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
📋 Question Details
- Chapter
- Straight Lines
- Topic
- Distance of a Point from a Line
- Year
- 2024
- Shift
- 29 Jan Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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