AP EAMCET · Maths · Pair of Lines
If slope of one line of \(a x^2+4 x y+y^2=0\) is 3 times the other, then the value of ' \(a\) ' is
- A -3
- B -1
- C 3
- D 1
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
Let the slope of lines are \(m\) and \(3 m\) respectively which are represented by \(a x^2+4 x y+y^2=0\) \(\because\) Sum of slopes \(=m+3 m=-\frac{4}{1}=-4 \Rightarrow m=-1\) and product of the slopes \(=m(3 m)=\frac{a}{1} \Rightarrow m^2=\frac{a}{3}\)…
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