TS EAMCET · Maths · Parabola
The parabola with directrix \(x+2 y-1=0\) and focus \((1,0)\) is
- A \(4 x^2-4 x y+y^2-8 x+4 y+4=0\)
- B \(4 x^2+4 x y+y^2-8 x+4 y+4=0\)
- C \(4 x^2+5 x y+y^2+8 x-4 y+4=0\)
- D \(4 x^2-4 x y+y^2-8 x-4 y+4=0\)
Answer & Solution
Correct Answer
(A) \(4 x^2-4 x y+y^2-8 x+4 y+4=0\)
Step-by-step Solution
Detailed explanation
Let \(P(x, y)\) be any point on the parabola By definition of Parabola \(P M=P S\) \(\Rightarrow \quad \frac{x+2 y-1}{\sqrt{1+4}}=\sqrt{(x-1)^2+y^2}\) On squaring both sides, we get…
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