Q55.If the perpendicular bisector of the line segment joining the points P(1, 4) and Q(k, 3) has y-intercept equal to −4, then a value of k is; (1) −2 (2) −4 (3) √14 (4) √15
What This Question Tests
This question requires finding the equation of the perpendicular bisector of a line segment, using midpoint and perpendicular slope properties, and then using its y-intercept to solve for an unknown coordinate.
Concepts Tested
Formulas Used
Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)
Slope m = (y₂-y₁)/(x₂-x₁)
Slope of perpendicular line = -1/m
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Perpendicular bisector
- Year
- 2020
- Shift
- 04 Sep Shift 2
- Q Number
- Q55
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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