AP EAMCET · Maths · Parabola
Let 1 be the directrix of the parabola \(9 y^2+12 y+9 x-14=0\) and \(l_1\) be the line passing through the vertex of this parabola and the origin. If \((\mathrm{h}, \mathrm{k})\) is the point of intersection of \(l\) and \(l_1\), then \(\mathrm{h}+\mathrm{k}=\)
- A \(-9 / 2\)
- B \(3 / 2\)
- C \(-3 / 4\)
- D \(9 / 4\)
Answer & Solution
Correct Answer
(A) \(-9 / 2\)
Step-by-step Solution
Detailed explanation
Given: \(9 y^2+12 y+9 x-14=0\) \(\Rightarrow\left(y+\frac{2}{3}\right)^2=-4 \times \frac{1}{4}(x-2)\) Whose vertex is \(\left(-\frac{2}{3}, 2\right)\) Equation of line passing through \(\left(-\frac{2}{3}, 2\right)\) and \((0,0)\) :…
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