Question

The point to which the origin should be translated in order to male the first degree terms missing in the equation 3xy - 2x + y - 8 = 0 is​

Answer 1

Answer:

Given, 2x

2

+7y

2

+8x−14y+15=0

2x

2

+8x+7y

2

−14y+15=0

2(x

2

+4x)+7(y

2

−2y)+15=0

2((x+2)

2

−4)+7((y−1)

2

−1)+15=0

2(x+2)

2

−8+7(y−1)

2

−7+15=0

2(x+2)

2

+7(y−1)

2

=0

Therefore for no first degree terms,

x+2=0, x=−2 and y−1=0

y=1.

Thus the origin needs to be shifed to

(−2,1).