A. 10
B. 2√5
C. 6
D. 4
The locus of the midpoints of the chords of the circle 4x2+4y2-12x+4y+1=0 which subtend an angle of π/3 at its centre is a circle of radius
Let P be a point on the circle x2+y2=9, Q a point on the line 7x+y+3=0, and the perpendicular bisector of PQ be the line x-y+1=0. Then the coordinates of P are
If the of the circle passing through the points (3,4),(3,2),(1,4) is x2+y2+2ax+2by+c=0, then the ascending order of a, b, c is
(1, 2) is a point on the circle x2+y2+2x-6y+5=0 which is orthogonal to x2+y2=5. The conjugate point of (1, 2) w. r. to the circle x2+y2 =5 and which lies on the first circle is
Let C1=x2+y2-2x-4y=0, C2=x2+y2+2x+10y=0 and L=2x+7y+7=0 Then L is the
The equation of the circle having centre on the line x+y=1 and touching the lines 3x-4y+2=0, 4x+3y+7= 0 is
The equation of the circle passing through the points (4, 1), (6, 5) and having the centre on line 4x+y-16=0 is
From any point on the circle x2+y2+2gx+2fy+c=0 tangents are drawn to the circle x2+y2+2gx+2fy+c sin2α+(g2+f2) 13cos2 α =0
The area of the triangle formed by the positive x-axis and the tangent and the normal at (1, √3) to the circle x2+y2=4 is
The locus of the points from which the lengths of the tangents to the two circles x2 + y2 + 4x + 3 = 0, x2 + y2-6x +5 = 0 are in the ratio 2 : 3 is a circle with centre