Let OX and OY be two fixed lines inclined at a constant angle α. A variable line cuts OX…
Mathematics · JEE Advanced · NTA Exams — Co-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.
Let the axes be chosen as OX and OY. If OP = a, OQ = b, then equation of PQ must be
- \(\frac{x}{a \cos \alpha}+\frac{y}{b \sin \alpha}=1\)
- \(\frac{x}{a \sin \alpha}+\frac{y}{b \cos \alpha}=1\)
- \(\frac{x}{a}+\frac{y}{b}=1\)
- None of these
Answer
(C) x a + y b =1
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