AP EAMCET · Maths · Parabola
If \(x-2=t^2, y=2 t\) are the parametric equations of the parabola \(y^2=a(x-b)\), then the value of \(a+b\) equals
- A 4
- B 2
- C 0
- D 6
Answer & Solution
Correct Answer
(D) 6
Step-by-step Solution
Detailed explanation
\(\therefore x-2=t^2, y=2 t\) are the parametric equations of the parabola \(y^2=a(x-b)\). \(\therefore\) It will satisfy the equation \[ \begin{aligned} x & =t^2+2, y=2 t \\ \Rightarrow \quad(2 t)^2 & =a\left(t^2+2-b\right) \Rightarrow 4 t^2=a t^2+a(2-b) \end{aligned} \]…
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