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Grade 12Analytical Geometry

93) Find the locus of the middle points of the chords of the circle x2+y2=a2 subtending a right angle at thepoint (b,0)

98) A triangle has two of its sides along the axes; the third side touches the circle x2+y2-2ax-2ay+a2=0. Find the equation of the locus of the circumcenter of the triangle.

Profile image of Viswadeep Sarangi
17 Years agoGrade 12
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2 Answers

Profile image of Vijay Luxmi Askiitiansexpert
17 Years ago

ANSWER 98

 

 

Above is the given figure as per the question. We are asked to find the focus of the circumcentre of ?AOB.

The Circumcentre can be focused out by using the formula

Profile image of Vijay Luxmi Askiitiansexpert
17 Years ago

93. Dear Student,

Please have a look at the symmetry of the problem

 

Clearly, we can see the x-axis is the focus of mid-points of the chords.

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