KCET · Maths · Parabola
The equation of parabola whose focus is \((6,0)\) and directrix is \(x=-6\) is
- A \(y^2=24 x\)
- B \(y^2=-24 x\)
- C \(x^2=24 y\)
- D \(x^2=-24 y\)
Answer & Solution
Correct Answer
(A) \(y^2=24 x\)
Step-by-step Solution
Detailed explanation
\(\because\) Focus has positive \(x\)-coordinate.
So, coordinate of focus \(=(a, 0) \equiv(6,0)\)
\(\therefore \quad a=6\) ....(i)
Hence, equation of parabola is
\(y^2=24 x \quad\left[\because y^2=4 a x\right.\) and using Eq. (i) \(]\)
So, coordinate of focus \(=(a, 0) \equiv(6,0)\)
\(\therefore \quad a=6\) ....(i)
Hence, equation of parabola is
\(y^2=24 x \quad\left[\because y^2=4 a x\right.\) and using Eq. (i) \(]\)
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