Thank you for registering.

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

Please check your email for login details.
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

If the point (5,4) and (x,y) are equidistant from the point (4,5) , prove that X square + Y square - 8 x minus 10 Y + 39 = 0

If the point (5,4) and (x,y) are equidistant from the point (4,5) , prove that X square + Y square - 8 x minus 10 Y + 39 = 0

Grade:10

2 Answers

Arun
25763 Points
one year ago
5,4) and ( x,y) are equidistant from (4,5)
So the distance between (5,4) and ( 4,5) is equal to distance  (x,y) and (4,5)
So using distance formula we have :
√{(5-4)2 + (4-5)2} = √{(x-4)2 + (y-5)2 }
√2 = √ {x2 +16 -8x + y2 +25 -10y}
Squaring both sides we get :
2 = {x2 +16 -8x + y2 +25 -10y}
Or x2 +16 -8x + y2 +25 -10y -2 = 0
Or x2  -8x + y2  -10y +39 = 0 ( hence proved)
Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
576-2326_15807222069231298391014.jpg

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free