OCR MEI C4 — Question 5

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
TopicParametric equations

5 A curve is defined parametrically by the equations $$x = \frac { 1 } { 1 + t } , \quad y = \frac { 1 - t } { 1 + 2 t }$$ Find \(t\) in terms of \(x\). Hence find the cartesian equation of the curve, giving your answer as simply as possible.