A. (a2-px)2=b2(x2+y2)
B. (a2-bx)2=p2(x2+y2)
C. (a2+px)2=b2(x2+y2)
D. (a2+bx)2=p2(x2+y2)
The equation of the circle, with centre (3, -1) and which cuts off a chord of length 6 on the line 2x-5y+18=0 is
If 1,ω,ω<sup>2</sup> are the cube roots of unity, then (1-ω+ ω<sup>2</sup>)5+(1+ω- ω<sup>2</sup>)<sup>5</sup> is equal to
The length of the tangent from a point on the circle x2+y2+4x-6y-12=0 to the circle x2+y2+4x-6y+4=0 is
The foot of the perpendicular from (0, 2, 3) to the line (x+3)/5 = (y-1)/2 = (z+4)/3 is:
A: The angle between the tangents drawn from origin to the circle x2+y2-14x+2y+25=0 is π/2
R: If θ is the angle between the pair of tangents drawn from (x1, y1) to the circle S=0 of radius r then tanθ/2=r/√S11
A: The equation of the common chord of the two circles x2+y2+2x+3y+1=0, x2+y2+4x+3y+2=0 is 2x+1=0
R: If two circles intersect at two points then their common chord is the radical axis
The equation of the circle which bisects the circumference of the circle x2+y2=1, x2+y2+2x=3, x2+y2+2y=3 is
The equation of the circles whose radius is 3 and which touches the circle x2+y2+2x+6y-15=0 externally at the point (2, 1) is
cos(α+β+γ)+cos(α-β-γ)+cos(β-γ-α)+cos(γ-α-β) is equal to:
The equation of the circle passing through the point (1, 2) cutting the circle x2+y2-2x+8y+7=0 orthogonally and bisects the circumference of the circle x2+y2=9 is