COMEDK · Maths · 13. Parabola
The equation of the lines joining the vertex of the parabola \(y^{2}=6 x\) to the point on it which have abscissa 24 are
- A \(y \pm 2 x=0\)
- B \(2 y \pm x=0\)
- C \(x \pm y=0\)
- D \(2 x \pm 3 y=0\)
Answer & Solution
Correct Answer
(B) \(2 y \pm x=0\)
Step-by-step Solution
Detailed explanation
Given, equation of parabola is \(y^{2}=6 x\) Substitute \(x=24\) \(y^{2}=6 \times 24\) \[ y=\pm \sqrt{6 \times 24}=\pm \sqrt{6 \times 6 \times 4}=\pm(6 \times 2)=\pm 12 \] \(\therefore\) Point on the parabola is \((24,12),(24,-12)\) vertex of given parabola is \((0,0)\).…
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