AP EAMCET · Maths · Straight Lines
If the length of the intercept made on the line \(y=a x\) by the lines \(y=2\) and \(y=6\) is less than 5
- A \(a \in(-\infty, \infty)\)
- B \(a \in\left(\frac{-4}{3}, \frac{4}{3}\right)\)
- C \(a \in\left(\frac{-3}{4}, \frac{4}{3}\right)\)
- D \(a < \frac{-4}{3}\) or \(a>\frac{4}{3}\)
Answer & Solution
Correct Answer
(D) \(a < \frac{-4}{3}\) or \(a>\frac{4}{3}\)
Step-by-step Solution
Detailed explanation
The point of intersection of lines \(y=a x\) and \(y=2\) is \(A\left(\frac{2}{a}, 2\right)\) and of the lines \(y=a x\) and \(y=6\) is \(B\left(\frac{6}{a}, 6\right)\), so…
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