psah85037
psah85037 psah85037
  • 11-09-2022
  • Mathematics
contestada

find the equation of locus of all points equidistant from the point +2,4 )and y-axis​

Respuesta :

nevinjiju2011
nevinjiju2011 nevinjiju2011
  • 11-09-2022

Answer:

Let P(h,k) be the point which is equidistant from the point (2,4) and the y-axis. The distance of point P(h,k) from the y-axis is h. ∴h=√(h−2)2+(k−4)2⇒h2−4h−4+k2−8k+16=h2⇒k2−4h−8k+20=0.

Hence,the locus of (h,k)is y2−4x−8y+20=0.

Step-by-step explanation:

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