Progression (Sequence and Series)Hard
Question
A right angled triangular shaped frame ABC rests in xy plane as shown in figure. It starts sliding over x-axis keeping A & B on axes. If AB = AC = 10, then locus of circumcentre of ᐃABC is -
Options
A.x2 + y2 = 50
B.x2 + y2 = 25
C.x + y = 0
D.x - y = 0
Solution
circumcentre is mid point of BC
i.e. (5 cosθ + 5sinθ, 5 cosθ + 5sinθ)
locus is y = x
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