#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# A rod PQ of length 2a slides with its end on the axes then locous of circumcenter of triangle OPQ is ?

Vikas TU
14149 Points
4 years ago
Given that A pole PQ of length 2a slides with its end on the tomahawks. Subsequently the pole dependably makes right calculated triangle with right point at inception.
Let the finishes of bars ne (x,0) and (0,y) anytime of time.
We realize that circumcenter of a privilege calculated triangle is the midpoint of hypotenuse.
Subsequently midpoint of hypotenuse will be ( (x+0)/2 , (0+y)/2 ) = (x/2 , y/2)
By utilizing pythogorous hypothesis
X^2 + y^2 = 4a^2
(x/2)^2 + (y/2)^2 = a^2
Subsequently the locus of circumcenter of triangle OPQ is a circle