A circle S passes through the point (0, 1) and is orthogonal to the circles `(x -1)^2 + y^2 = 16` and `x^2 + y^2 = 1`. Then(A) radius of S is 8(B) radius of S is 7(C) center of S is (-7,1)(D) center of S is (-8,1)

A circle S passes through the point (0, 1) and is orthogonal to the ci

1.	A circle S passes through the point (0, 1) and is orthogonal to the circles `(x -1)^2 + y^2 = 16` and `x^2 + y^2 = 1`. Then(A) radius of S is 8(B) radius of S is 7(C) center of S is (-7,1)(D) center of S is (-8,1)
Answer» `delta:x^2+y^2+2ga+2fy+c=0` `delta_1-delta_2=0` `x^2+y^2-2x-15=0` `x^2+y^2-1=0` `delta_1-delta_2=-2x-14=0` `delta:x^2+y^2+14x+2fy+c=0` `0+1+0+2f+c=0` `1+2f+c=0-(1)` `2gg_1+2ff_1=c+c_1` `2(7)(-1)+0=c-15` `c=1` `f=-1` centre=(-7,1) option b and c is correct.

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A circle S passes through the point (0, 1) and is orthogonal to the circles `(x -1)^2 + y^2 = 16` and `x^2 + y^2 = 1`. Then(A) radius of S is 8(B) radius of S is 7(C) center of S is (-7,1)(D) center of S is (-8,1)

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