TS EAMCET · Maths · Straight Lines
The slope of a line \(L\) passing through the point \((-2,-3)\) is not defined. If the angle between the lines \(L\) and \(a x-2 y+3=0(a\gt0)\) is \(45^{\circ}\), then the angle made by the line \(x+a y-4=0\) with positive \(X\)-axis in the anticlockwise direction is
- A \(\pi-\tan ^{-1}\left(\frac{1}{2}\right)\)
- B \(\frac{\pi}{3}\)
- C \(\frac{2 \pi}{3}\)
- D \(\tan ^{-1}\left(\frac{1}{2}\right)\)
Answer & Solution
Correct Answer
(A) \(\pi-\tan ^{-1}\left(\frac{1}{2}\right)\)
Step-by-step Solution
Detailed explanation
Equation of line passing through \((-2,-3)\) with slope not defimed is \(x=-2\) \(a x-2 y+3=0\) makes \(45^{\circ}\) with \(x+2=0\) Hence it makes angle \(45^{\circ}\) with positive direction of \(x\)-axis.…
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