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Question
The joint equation of pair of lines having slopes `1+sqrt2` and `1-sqrt2` and passing through the origin is ______.
Options
x2 + 2xy + y2 = 0
x2 + 2xy - y2 = 0
x2 + 5xy + y2 = 0
x2 - 5xy + y2 = 0
MCQ
Fill in the Blanks
Solution
The joint equation of pair of lines having slopes `1+sqrt2` and `1-sqrt2` and passing through the origin is x2 + 2xy - y2 = 0.
Explanation:
Equations of lines are `y=(1+sqrt2)x` and `y=(1-sqrt2)x`
∴ The combined equation of the pair of lines is `[(1+sqrt2)x-y][(1-sqrt2)x-y]=0`
⇒ x2 + 2xy - y2 = 0
shaalaa.com
Combined Equation of a Pair Lines
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