TS EAMCET · Maths · Parabola
If \((-1,-1)\) is the focus and \(x+y+4=0\) is the directrix of a parabola, then its vertex is
- A \(\left(-\frac{3}{2},-\frac{3}{2}\right)\)
- B \(\left(-\frac{5}{2},-\frac{5}{2}\right)\)
- C \(\left(-\frac{1}{4},-\frac{1}{4}\right)\)
- D \(\left(\frac{1}{4}, \frac{1}{4}\right)\)
Answer & Solution
Correct Answer
(A) \(\left(-\frac{3}{2},-\frac{3}{2}\right)\)
Step-by-step Solution
Detailed explanation
Let \(P(x, y)\) be any point on the parabola whose focus is \(S(-1,-1)\) and directrix is \(x+y+4=0\) Let \(M\) be foot of perpendicular drawn from \(P\) to the directrix. Then,…
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