Mathematics · 2024
JEE Main · 4 April 2024, Shift 2 · Q15
Let PQ be a chord of the parabola y^2=12 x and the midpoint of PQ be at (4,1). Then, which of the following point lies on the line passing through…
Let PQ be a chord of the parabola $\displaystyle y^2=12 x$ and the midpoint of PQ be at $\displaystyle (4,1)$. Then, which of the following point lies on the line passing through the points $\displaystyle P$ and Q ?
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \left(\frac{1}{2},-20\right)$
More from Parabola
- Two parabolas have the same focus (4,3) and their directrices are the x -axis and the y -axis, respectively. If these parabolas intersects at the…2025
- Let the image of parabola x^2=4 y, in the line x-y=1 be (y+a)^2=b(x-c), a, b, c ∈ N. Then a+b+c is equal to2026
- Let P(α, β) be a point on the parabola y^2=4 x. If P also lies on the chord of the parabola x^2=8 y whose mid point is (1, 5/4), then (α-28)(β-8) is…2024
- The radius of the smallest circle which touches the parabolas y=x^2+2 and x=y^2+2 is2025
- Let A be the focus of the parabola y^2=8 x. Let the line y=m x+c intersect the parabola at two distinct points B and C. If the centroid of the…2026
- Let L_1, L_2 be the lines passing through the point P(0,1) and touching the parabola 9 x^2+12 x+18 y-14=0. Let Q and R be the points on the lines L_1…2024
- If the line 3 x-2 y+12=0 intersects the parabola 4 y=3 x^2 at the points A and B, then at the vertex of the parabola, the line segment AB subtends an…2025
- An equilateral triangle OAB is inscribed in the parabola y^2=4 x with the vertex O at the vertex of the parabola. Then the minimum distance of the…2026
JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.