AP EAMCET · Maths · Pair of Lines
Find the value of \(k\), if the angle between the straight lines represented by \(2 x^2+5 x y+3 y^2+6 x+7 y+4=0\) is \(\tan ^{-1}(k)\).
- A \(\left(\frac{1}{5}\right)\) only
- B \(\left(\frac{-1}{5}\right)\) only
- C \(\pm \frac{1}{5}\)
- D 0
Answer & Solution
Correct Answer
(C) \(\pm \frac{1}{5}\)
Step-by-step Solution
Detailed explanation
Straight lines \(2 x^2+5 x y+3 y^2+6 x+7 y+4=0\) Angle between straight lines represented by \(\begin{aligned} & a x^2+b y^2+2 g x+2 f y+c+2 h x y=0 \text { is } \\ & \tan \theta=\frac{2 \sqrt{h^2-a b}}{a+b} \end{aligned}\)…
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