TS EAMCET · Maths · Straight Lines
A straight line \(x-2 y-4=0\) is shifted parallel to it by 3 units away from the origin and then rotated by an angle of \(30^{\circ}\) in the anti-clockwise direction. If the slope of the new line formed is \(m\), then the integral part of ' \(m\) ' is
- A -1
- B 0
- C 1
- D 2
Answer & Solution
Correct Answer
(C) 1
Step-by-step Solution
Detailed explanation
\[ \text { } x-2 y-4=0 \] (i) Then rotates \(30^{\circ}\) angle in only clockwise direction. \(\therefore\) slope of new line is \(m\) (ii) Line is shifted 3 units away from origin. So, equation will be \(x-2 y-7=0\) Now, it rotates \(30^{\circ}\) angle in anticlockwise…
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