AktiraAktira JEE
Subscribe
MathsJEE Main 4 Apr 2026, Shift 2·Q6·MCQ·Moderate

Matrices & Determinants · Characteristic equation of a matrix

Let A=[1274−2838−7]A = \begin{bmatrix} 1 & 2 & 7\\ 4 & -2 & 8\\ 3 & 8 & -7\end{bmatrix} and det⁡(A−αI)=0\det(A - \alpha I) = 0, where α\alpha is a real number. If the largest possible value of α\alpha is pp, then the circle (x−p)2+(y−2p)2=320(x-p)^2 + (y-2p)^2 = 320, intersects the co-ordinate axes at
  1. (1)1 point
  2. (2)2 points
  3. (3)3 points
  4. (4)4 points

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.

Subscribe

See the full 4 Apr 2026, Shift 2 paper