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Straight Line — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsStraight Line2 Marks
MCQ
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
  • A
    $90^{\circ}$
  • ✓
    $135^{\circ}$
  • C
    $45^{\circ}$
  • D
    $120^{\circ}$
✓

Answer

Correct option: B.
$135^{\circ}$
(B)
Let the equation of line be $\frac{x}{ a }+\frac{y}{ a }=1$
$\Rightarrow x+y= a \Rightarrow y=-x+ a$
Comparing with $y= m x+ c$, we get
$m =-1$
$\Rightarrow \tan \theta=-1 \Rightarrow \theta=135^{\circ}$

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