Mathematics - Straight Lines Question with Solution | TestHub
MathematicsStraight LinesPair of St. linesMedium2 minQB
MathematicsMediumsingle choice
Match each item in List I to the value in List II.
List I | List II |
(A) Distance between lines represented by (x+7y)²+4√2(x+7y)-42=0. | (P) 2 |
(B) Sum of distances from two perpendicular lines is 1. Locus |x|+|y|=k: find k. Coordinates are measured along those perpendicular lines. | (Q) 7 |
(C) If 6x+6y+m=0 bisects the acute angle between x+2y+4=0 and 4x+2y-1=0, find m. | (R) 3 |
(D) Area of triangle bounded by y²-9xy+18x²=0 and y=6. | (S) 1 |
Options:
Answer:
A
Solution:
(A) The quadratic factors as , so the separation is . (B) The sum of perpendicular distances is . (C) The normalized bisector equations give the acute bisector . (D) The two lines are and , meeting at (2,6) and (1,6); the area is .
Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Pair of St. lines
⏱ 2mℹ️ Source: QB
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