TS EAMCET · Maths · Straight Lines
If \(3 x^2-11 x y+10 y^2-7 x+13 y+k=0\) denotes a pair of straight lines, then the point of intersection of the lines is
- A \((1,3)\)
- B \((3,1)\)
- C \((-3,1)\)
- D \((1,-3)\)
Answer & Solution
Correct Answer
(B) \((3,1)\)
Step-by-step Solution
Detailed explanation
The pair of straight lines is \(3 x^2-11 x y+10 y^2-7 x+13 y+k=0\) then on compairing with \(a x^2+2 h x y+b y^2+2 g x+2 f y+c=0\) \(\Rightarrow \quad\left\{\begin{array}{l}a=3, h=-\frac{11}{2}, b=10 \\ g=-\frac{7}{2}, f=\frac{13}{2}, c=k\end{array}\right.\) Then, the point of…
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