TS EAMCET · Maths · Straight Lines
A line makes intercepts 5 and 7 on the coordinate axes. The axes are rotated through an angle \(\theta\) in the positive direction about the origin so that the line makes equal intercepts on the new axes, \(\operatorname{then}|\tan \theta|=\)
- A 6
- B \(\frac{1}{6}\)
- C \(\frac{12}{35}\)
- D \(\frac{35}{12}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{6}\)
Step-by-step Solution
Detailed explanation
Given intercepts oncoordinate axes are 5 and 7 Let \(\mathrm{a}=5, \mathrm{~b}=7\), then equation of line is \[ \begin{aligned} & \frac{x}{5}+\frac{y}{7}=1 \\ & 7 x+5 y=35 \end{aligned} \] According to question, the equation of new line is \(\mathrm{x}\)…
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