Let OX and OY be two fixed lines inclined at a constant angle α. A variable line cuts OX…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

Let OX and OY be two fixed lines inclined at a constant angle α. A variable line cuts OX at P and OY at Q. From P and Q perpendiculars PM and QN are drawn to OY and OX respectively.
The equation of MN must be
  1. \(\frac{x}{a \cos \alpha}+\frac{y}{b \sin \alpha}=1\)
  2. \(\frac{x}{b \cos \alpha}+\frac{y}{a \cos \alpha}=1\)
  3. \(\frac{\mathrm{x}}{\mathrm{a} \sin \alpha}+\frac{\mathrm{y}}{\mathrm{~b} \sin \alpha}=1\)
  4. None of these

Answer

(B) x b + y a =1

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