AP EAMCET · Maths · Straight Lines
A straight line \(L_1\) passing through \(A(3,1)\) meets the coordinate axes at \(P\) and \(Q\) such that its distance from the origin \(O\) is maximum. Then area of \(\triangle O P Q\) is sq. units
- A \(\frac{100}{3}\)
- B \(\frac{25}{3}\)
- C \(\frac{50}{3}\)
- D \(\frac{200}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{50}{3}\)
Step-by-step Solution
Detailed explanation
\(A=(3,1)\) Let slope of line be \(m\) \(\begin{array}{ll} \therefore \quad & y-y_1=m\left(x-x_1\right) \quad \text { [be the required line] } \\ & y-1=m(x-3) \end{array}\) \(\begin{aligned} & y-1=m x-3 m \\ & m x-y+(1-3 m)=0 \quad \ldots (i) \end{aligned}\) The greatest…
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