AP EAMCET · Maths · Parabola
If the vertex of a parabola is \((4,3)\) and its directrix is \(3 x+2 y-7=0\), then the equation of latus rectum of the parabola is
- A \(3 x+2 y-18=0\)
- B \(3 x+2 y-29=0\)
- C \(3 x+2 y-8=0\)
- D \(3 x+2 y-31=0\)
Answer & Solution
Correct Answer
(B) \(3 x+2 y-29=0\)
Step-by-step Solution
Detailed explanation
Let the directrix be \(D: 3x+2y-7=0\). The latus rectum is parallel to the directrix, so its equation is \(L: 3x+2y+k=0\). The vertex \(V(4,3)\) lies exactly midway between the directrix and the focus. The value of \(3x+2y\) at the vertex \(V(4,3)\) is \(3(4)+2(3) = 12+6 = 18\).…
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