TS EAMCET · Maths · Straight Lines
The distance between the two lines represented by \(8 x^2-24 x y+18 y^2-6 x+9 y-5=0\) is
- A 0
- B \(\frac{3}{4 \sqrt{13}}\)
- C \(\frac{6}{\sqrt{13}}\)
- D \(\frac{7}{2 \sqrt{13}}\)
Answer & Solution
Correct Answer
(D) \(\frac{7}{2 \sqrt{13}}\)
Step-by-step Solution
Detailed explanation
The given equation of family of lines \(8 x^2-24 x y+18 y^2-6 x+9 y-5=0\) \(\ldots\) (i) Comparing with \(a x^2+2 h x y+b y^2+2 g x+2 f y+c=0\) Then, \(\left\{\begin{array}{c}a=8, h=-12, b=18 \\ g=-3, f=9 / 2, c=-5\end{array}\right.\) We know that, the distance between two lines…
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