Q67.The line L given by x b = 1 passes through the point (13, 32). The line K is parallel to L and has the 5 + equation x c + 3y = 1. Then the distance between L and K is (1) √17 (2) 17 √15 (3) 23 (4) 23 √17 √15
What This Question Tests
The problem asks for the distance between two parallel lines, one given in intercept form and the other requiring conversion to standard form, after determining a constant 'b'.
Concepts Tested
Formulas Used
Distance between Ax+By+C1=0 and Ax+By+C2=0 is |C1-C2|/sqrt(A^2+B^2)
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📋 Question Details
- Chapter
- Straight Lines
- Topic
- Distance between parallel lines
- Year
- 2010
- Shift
- Unknown
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines
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