MHT CET · Maths · Pair of Lines
If the sum of slopes of lines represented by \(a x^2+8 x y+5 y^2=0\) is twice their product, then \(\mathrm{a}=\)
- A -4
- B 5
- C -2
- D -8
Answer & Solution
Correct Answer
(A) -4
Step-by-step Solution
Detailed explanation
We have \(a x^2+8 x y+5 y^2=0\)
Here \(\mathrm{m}_1+\mathrm{m}_2=\frac{-8}{5}, \mathrm{~m}_1 \mathrm{~m}_2=\frac{\mathrm{a}}{5}\)
As per condition given, we write
\(
\left(-\frac{8}{5}\right)=2\left(\frac{\mathrm{a}}{5}\right) \Rightarrow \mathrm{a}=-4
\)
Here \(\mathrm{m}_1+\mathrm{m}_2=\frac{-8}{5}, \mathrm{~m}_1 \mathrm{~m}_2=\frac{\mathrm{a}}{5}\)
As per condition given, we write
\(
\left(-\frac{8}{5}\right)=2\left(\frac{\mathrm{a}}{5}\right) \Rightarrow \mathrm{a}=-4
\)
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