TS EAMCET · Maths · Straight Lines
A line \(L_1\) passing through \(A(3,4)\) and having slope 1 cuts another line \(L_2\) passing through \(C\) at \(B\), such that \(A B=A C\). If the equation of line \(B C\) is \(2 x-y+4=0\), then the equation of \(A C\) is
- A \(7 x-y-17=0\)
- B \(x-y+1=0\)
- C \(x-7 y+25=0\)
- D \(2 x+3 y-18=0\)
Answer & Solution
Correct Answer
(A) \(7 x-y-17=0\)
Step-by-step Solution
Detailed explanation
Equation of \(L_1\) : \(\begin{aligned} y-4 & =1(x-3) \\ y-4 & =x-3 \\ x-y+1 & =0 \end{aligned}\) Let slope of \(A C\) is \(m\). Since \(A C=B C\) \(\therefore \triangle A B C\) is isosceles…
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