Mathematics · 2025
JEE Main · 3 April 2025, Shift 1 · Q11
The radius of the smallest circle which touches the parabolas y=x^2+2 and x=y^2+2 is
The radius of the smallest circle which touches the parabolas $\displaystyle y=x^2+2$ and $\displaystyle x=y^2+2$ is
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \frac{7 \sqrt{2}}{8}$
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 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
- 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
- Let A and B be the two points of intersection of the line y+5=0 and the mirror image of the parabola y^2=4 x with respect to the line x+y+4=0. If d…2025
- The shortest distance between the curves y^2=8 x and x^2+y^2+12 y+35=0 is:2025
- Let the point P of the focal chord PQ of the parabola y^2=16 x be (1,-4). If the focus of the parabola divides the chord PQ in the ratio m: n, gcd(m,…2025
JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.