Q68.Slope of a line passing through P(2, 3) and intersecting the line x + y = 7 at a distance of 4 units from P, is (1) √7−1 (2) 1–√7 √7+1 1+√7 (3) √5−1 (4) 1–√5 √5+1 1+√5
What This Question Tests
This problem uses the concept of the parametric form of a straight line. By representing a point at a given distance from P on the line, and then substituting its coordinates into the equation of the intersecting line, the slope of the line can be determined.
Concepts Tested
Formulas Used
Distance formula = √((x2-x1)² + (y2-y1)²)
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Distance between two points, slope of a line
- Year
- 2019
- Shift
- 09 Apr Shift 1
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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