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Question: Answered & Verified by Expert
A line cuts off equal intercepts on the co-ordinate axes. The angle made by this line with the
positive direction of \( X \)-axis is
MathematicsStraight LinesKCETKCET 2019
Options:
  • A \( 90^{\circ} \)
  • B \( 135^{\circ} \)
  • C \( 45^{\circ} \)
  • D \( 120^{\circ} \)
Solution:
1857 Upvotes Verified Answer
The correct answer is: \( 135^{\circ} \)
(B)

\[
\begin{array}{l}
x+y=a \\
\frac{d y}{d x}=-1 \\
\tan \theta=-1 \\
\theta=\pi-\frac{\Pi}{4}=\frac{3 \Pi}{4} \Rightarrow \theta=135^{\circ}
\end{array}
\]

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