Q68.The foot of the perpendicular drawn from the origin, on the line, 3x + y = λ(λ ≠0) is P . If the line meets x- axis at A and y-axis at B, then the ratio BP : PA is (1) 9 : 1 (2) 1 : 3 (3) 1 : 9 (4) 3 : 1
What This Question Tests
This problem requires finding the coordinates of the foot of the perpendicular from the origin to a line and the line's intercepts, then determining the ratio of two segments on the line.
Concepts Tested
Formulas Used
Slope of perpendicular lines (m1m2 = -1)
Distance formula
Section formula
📚 NCERT Sections This Tests
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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.
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Foot of perpendicular, section ratio
- Year
- 2018
- Shift
- 15 Apr Shift 2 Online
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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