AP EAMCET · Maths · Parabola
The coordinates of the focus of the parabola described parametrically by (where is a parameter) are
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given parametric curves are x=5t2+2, y=10t+4 ⇒x-25=t2,y-410=t Eliminating t, we get x-25=y-4102 ⇒y-42=20x-2 ⇒Y2=10X, where Y=y-4, X=x-2 Coordinates of focus are 5,0 So, x-2=5, y-4=0 ⇒x=7, y=4 Hence, required coordinates are 7,4
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