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1) Circle: x2 + y2 -10x-6y+30=0. Let O be centre of circle and tangent at A(7,3) and B(5,1) meet at C. Let S=0 represent family of circles passing through A and B then A)Area of quadrilateral OACB is 4 B)Radical Axis for family of circles S=0 is x+y=0 C)The smallest possible circle for family S=0 is x2+y2-12x-4y+38=0 D)coordinate of point C is (7,1)

1) Circle: x2 + y2 -10x-6y+30=0. Let O be centre of circle and tangent at A(7,3) and B(5,1) meet at C. Let S=0 represent family of circles passing through A and B then
A)Area of quadrilateral OACB is 4
B)Radical Axis for family of circles S=0 is x+y=0
C)The smallest possible circle for family S=0 is x2+y2-12x-4y+38=0
D)coordinate of point C is (7,1)

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
878 Points
13 years ago

Dear student,

The given circle is:

x2+y2-10x-6y+30=0

Its centre is (5,3)

Radius is 2

 

Now make use of conditions given in ques and find the smallest possible circle...

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