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a rod PQ of length 2a slides with its ends on the axes. the locus of the circumcentre of triangle OPQ

Revanth Kumar , 8 Years ago
Grade 12
anser 1 Answers
Khimraj

Last Activity: 8 Years ago

Let at a instant the coordinates of ends of rod are (x,0) and (0,y). Then it will make right angle triangle with origin. And circumcentre of right angled triangle is mod point of hypotenuse. And coordinate of mid point of hypotenuse is (X,Y)=(x/2,y/2). Then apply pythogorous theorem.x² + y² = 4a² . And (x/2)² +(y/2)² = a². Then X² + Y² = a².Hope it clears. If still u have doubts then please clarify. If u like answer then please approve the answer.

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