THE LOCUS OF THE CENTRE OF A CIRCLE WHICH ALWAYS PASSES THROUGH THE FIXED POINTS (a,0) AND (-a,0) is
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Answer:
x = 0
Step-by-step explanation:
Given THE LOCUS OF THE CENTRE OF A CIRCLE WHICH ALWAYS PASSES THROUGH THE FIXED POINTS (a,0) AND (-a,0) is
Let the coordinates of centre be (h,k). It passes through the points (a,0) and (-a,0)
If (h,k) be centre c and a,b be the given points, then ca^2 = cb^2
It implies 4 a h = 0
implies h = 0
Therefore x = 0
So the locus of the centre of a circle is 0.
knjroopa:
Thank you so much
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