WBJEE · Maths · Parabola
The coordinates of a moving point \(p\) are \(\left(2 t^2+4,4 t+6\right)\). Then its locus will be a
- A circle
- B straight line
- C parabola
- D ellipse
Answer & Solution
Correct Answer
(C) parabola
Step-by-step Solution
Detailed explanation
Hints: \(x=2 t^2+4, y=4 t+6, \quad y=4 t+6 \rightarrow t=\left(\frac{y-6}{4}\right)\) \(\begin{aligned} & x=2\left(\frac{y-6}{4}\right)^2+4 \Rightarrow \frac{(y-6)^2}{8}=x-4 \\ & (y-6)^2=4(2)(x-4) \end{aligned}\)
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