AP EAMCET · Maths · Parabola
If a parabola passess through the points \((-2,1)\), \((1,2)\) and \((-1,3)\) having horizontal axis, then the length of the latus rectum of that parabola is
- A 5
- B \(\frac{5}{2}\)
- C \(\frac{2}{5}\)
- D \(\frac{1}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{2}{5}\)
Step-by-step Solution
Detailed explanation
Let the equation of parabola having horizontal axis, vertex at \((h, k)\) is \[ (y-k)^2=4 a(x-h) \] \(\because\) Parabola (i) passes through the points \((-2,1)\), \((1,2)\) and \((-1,3)\), so…
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