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The radius of the circle in which the sphere x2+y2+z2+2z2y4z19=0 is cut by the plane x+2y+22+7=0 is

a
2
b
3
c
1
d
4

detailed solution

Correct option is B

Center of the sphere is (-1, 1,2) and its radius = 1+1+4+19=5C L, perpendicular distance of C from plane, is −1+2+4+71+4+4=4Now AL2 = CA2 - CL2 =25 - 16=9Hence, radius of the circle 9=3

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Find the distance of the point (1, 0, -3) from the plane x - y -z = 9 measured parallel to the line x22=y+23=z66 


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