Q67.If a line L is perpendicular to the line 5x −y = 1, and the area of the triangle formed by the line L and the coordinate axes is 5 sq units, then the distance of the line L from the line x + 5y = 0 is (1) 7 units (2) 7 units √13 √5 (3) 5 units (4) 5 units √13 √7
What This Question Tests
The question involves finding the equation of a line perpendicular to a given line, using the area of the triangle it forms with the coordinate axes, and then calculating the distance to another given line.
Concepts Tested
Formulas Used
m1*m2 = -1
Area = (1/2)|c²/m|
Distance between parallel lines Ax+By+C1=0 and Ax+By+C2=0 is |C1-C2|/√(A²+B²)
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Equation of line, perpendicular lines, distance between parallel lines
- Year
- 2014
- Shift
- 19 Apr Online
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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