Q65.Let the point P(α, β) be at a unit distance from each of the two lines L1 : 3x −4y + 12 = 0 , and L2 : 8x + 6y + 11 = 0 . If P lies below L1 and above L2 , then 100(α + β) is equal to (1) −14 (2) 42 (3) −22 (4) 14
What This Question Tests
The question tests the ability to use the distance formula from a point to a line and determine the position of a point relative to a line based on the sign of the expression Ax+By+C.
Concepts Tested
Formulas Used
Distance = |Ax0 + By0 + 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.
2.5 — A Parallel Plate Capacitor With Air Between The Plates Has A
Physics Class 11 · Chapter 2
2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10–12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
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?
📋 Question Details
- Chapter
- Straight Lines
- Topic
- Distance of a point from a line
- Year
- 2022
- Shift
- 25 Jul Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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