Question

Find the equation of the locus of point the sum of distances from 0, 2 and 0,-2 is 6

Answer 1

Answer:

Let us assume that the required point of the locus is ( h, k ) .

According to the distance Formula -

Distance Between Two Points -

Let us assume that Point A ( 0, 2 )

Distance between A and Locus -

Let us assume that Point B ( 0, -2 )

Distance between B and Locus -

Sum = 6

Simplifying that , we get the required equation .

Now, replace h and k as x and y respectively to get the answer .

Step-by-step explanation: