Position of a point and power of a point

JEE Main Mathematics · Circle · 5 questions, latest first

• Let the point P be the vertex of the parabola y=x^2-6 x+12. If a line passing through the point P intersects the circle x^2+y^2-2…20265 April, Shift 2 · Q11
• Let P be a moving point on the circle x^2+y^2-6 x-8 y+21=0. Then, the maximum distance of P from the vertex of the parabola x^2+6…20265 April, Shift 1 · Q10
• Let the maximum and minimum values of (√(8 x-x^2-12)-4)^2+(x-7)^2, x ∈ R be M and m, respectively. Then M^2-m^2 is equal to ____.20245 April, Shift 2 · Q24
• Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point (3,2) and parallel to the…20245 April, Shift 1 · Q13
• Let the point (p, p+1) lie inside the region E={(x, y): 3-x ≤ y ≤ √(9-x^2), 0 ≤ x ≤ 3}. If the set of all values of p is the…20236 April, Shift 1 · Q22