TS EAMCET · Maths · Straight Lines
If a variable line is moving such that the intercepts made by it on the coordinate axes are reciprocal to each other, then the points \(P(x, y)\) on such lines satisfy
- A \(x+y>4\)
- B \(4 x y>1\)
- C \(4 x y < 1\)
- D \(x+y=4\)
Answer & Solution
Correct Answer
(C) \(4 x y < 1\)
Step-by-step Solution
Detailed explanation
Equation of line is moving such that intercept mode by it on the coordinate axis are reciprocal to each other is \(a x+\frac{y}{a}=1 \Rightarrow a^2 x-a+y=0\) \(a \in \mathbf{R}\) \(\begin{aligned} \therefore \quad & (1)^2-4 x y>0 \\ & 4 x y < 1 \end{aligned}\)
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