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The locus of a point which moves such that the line segment having end points(2,0) and (-2,0) subtend a right angle at that point(a) x+y=4 (b) x2+y2=4 (c) x2-y2=4 (d) none of these |
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Answer» Let the point be P (h,k) Hence by the problem We have (k-0)/(h+2)×(k-0)/(h-2)=-1 =>k^2/(h^2-4)=-1 =>h^2+k^2=4 Replacing h by x and k by y the locus becomes x^2+y^2=4 |
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