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Question
Choose the correct alternative:
If one of the lines given by 6x2 – xy – 4cy2 = 0 is 3x + 4y = 0, then c equals to ______.
Options
−3
−1
3
1
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Solution
If one of the lines given by 6x2 – xy – 4cy2 = 0 is 3x + 4y = 0, then c equals to −3.
Explanation:
3x + 4y = 0 is one of the line of the pair equations of lines
6x2 – xy – 4cy2 = 0, Put y = `-3/4x`,
we get, `6x^2 + 3/4x^2 + 4c(-3/4x)^2` = 0
⇒ `6 + 3/4 + (9c)/4` = 0
⇒ c = −3
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