JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let P be the parabola, whose focus is \((-2,1)\) and directrix is \(2 x+y+2=0\). Then the sum of the ordinates of the points on P , whose abscissa is -2 , is
- A \(\frac{3}{2}\)
- B \(\frac{5}{2}\)
- C \(\frac{1}{4}\)
- D \(\frac{3}{4}\)
Answer & Solution
Correct Answer
(A) \(\frac{3}{2}\)
Step-by-step Solution
Detailed explanation
Equation of parabola \((x+2)^2+(y-1)^2=\left(\frac{2 x+y+2}{\sqrt{5}}\right)^2\) \(5\left[(x+2)^2+(y-1)^2\right]=(2 x+y+2)^2\) Put \(x=-2,5(y-1)^2=(y-2)^2\)…
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