Offline paper
Mathematics · 2016
JEE Main 2016 · 2016-04-03 Offline · Q81
Let P be the point on the parabola, y^2=8 x which is at a minimum distance from the centre C of the circle, x^2+(y+6)^2=1. Then the equation of the…
Let $\displaystyle P$ be the point on the parabola, $\displaystyle y^2=8 x$ which is at a minimum distance from the centre $\displaystyle C$ of the circle, $\displaystyle x^2+(y+6)^2=1$. Then the equation of the circle, passing through $\displaystyle C$ and having its centre at $\displaystyle P$ is :
Official answer
(1)
$\displaystyle x^2+y^2-4 x+8 y+12=0$
More from Parabola
- Let the tangent to the curve x^2+2 x-4 y+9=0 at the point P(1,3) on it meet the y -axis at A. Let the line passing through P and parallel to the line…2023
- The ordinates of the points P and Q on the parabola with focus (3,0) and directrix x=-3 are in the ratio 3: 1. If R(α, β) is the point of…2023
- The tangents at the points A(1,3) and B(1,-1) on the parabola y^2-2 x-2 y=1 meet at the point P. Then the area (in unit ^2 ) of the triangle P A B is:2022
- Let P be the point of intersection of the common tangents to the parabola y^2=12 x and the hyperbola 8 x^2-y^2=8. If S and S' denote the foci of the…2019
- 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 a line y=m x( m>0) intersect the parabola, y^2=x at a point P, other than the origin. Let the tangent to it at P meet the x -axis at the point Q.…2020
- 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 L_1 be the length of the common chord of the curves x^2+y^2=9 and y^2=8 x, and L_2 be the length of the latus rectum of y^2=8 x, then:2014
JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.