Consider with circle `S: x^2+y^2-4x-1=0` and the line `L: y=3x-1`. If the line L cuts the circle at A and B then Length of the chord AB equal

Consider with circle S: x^2+y^2-4x-1=0 and the line L: y=3x-1 . If the line L cuts the circle at A and B then Length of the chord AB is

Consider with circle S: x^2+y^2-4x-1=0 and the line L: y=3x-1 . If the line L cuts the circle at A and B then Length of the chord AB is

Consider the circle S: x^2 + y^2 - 4x-1=0 and the line L: y = 3x - 1 . If the line L cuts the circle at A & B. (i) Length of the chord AB equal (i) The angle subtended by the chord AB in the minor arc of S is (iii). Acute angle between the line L and the circle S is

Consider the circle S: x^2 + y^2 - 4x-1=0 and the line L: y = 3x - 1 . If the line L cuts the circle at A & B. (i) Length of the chord AB equal (i) The angle subtended by the chord AB in the minor arc of S is (iii). Acute angle between the line L and the circle S is

Consider with circle S:x^(2)+y^(2)-4x-1=0 and the line L:y=3x-1. If the line L cuts the circle at A and B. If the equation of circle on AB as diameter is of the form x^(2)+y^(2)+ax+by+c=0 then the magnitude of the vector VecV=ahat i+bhat j+chat k

Find the points of intersection (if any) of the line x+2y-5=0 and the circle x^2+y^2=25. In case the line cuts the circle, find the length of the chord intercepted.

For the circles S_1: x^2 + y^2-4x-6y-12 = 0 and S_2 : x^2 + y^2 + 6x + 4y-12=0 and the line L.:x+y=0 (A) L is common tangent of S_1 and S_2 (B) L is common chord of S_1 and S_2 (C) L is radical axis of S_1 and S_2 (D) L is perpendicular to the line joining the cente of S_1 & S_2

(i) Find the length of the chord intercepted by the circle x^(2)+y^(2)-8x-2y-8=0 on the line x+y+1=0 (ii) Find the length of the chord intercepted by the circle x^(2)+y^(2)+8x-4y-16=0 on the line 3x-y+4=0 (iii) Find the length of the chord formed by x^(2)+y^(2)=a^(2) on the line xcos alpha +y sin alpha=p