A. 2
B. √2
C. 4
D. √8
I:The equation whose roots are the squares of the roots of x3-x2+8x-6=0 is x3+15x2+52x+36=0
II:The equation whose roots are the cubes of the roots x3+3x2+2=0 is x3+33x2+12x+8=0
If the circles x2+y2+2ax+4ay-3a2=0 and x2+y2-8ax-6ay+7a2=0 touch each other externally, the point of contact is
The equation of the circle whose centre lies in the first quadrant and which touches the coordinate axes and the line (x/3)+(y/4)=1 is x2+y2-2cx-2cy+c2=0, then c=
The equation to the locus of the midpoints of chords of the circle x2+y2-8x+6y+20=0 which are parallel to 3x + 4y+5 = 0 is
The radical centre of the circle x2+y2=1, x2+y2-2x=1, x2+y2-2y=1 is
The length of the common chord of the circles x2+y2+2hx=0, x2+y2-2ky=0 is
If the pole of a line w.r.to the circle x2+y2=a2 lies on the circle x2+y2=a4 then the line touches the circle
Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the midpoints of the chords of the circle C that subtend an angle of 2π/3 at its centre is
The equations of the tangents to the circle x2+y2+8x-4y-5=0 and perpendicular to 2x+3y+5=0 are
For the circle2x2+2y2-5x-4y-3=0, the point (4, 2)