Question

New equation of the following loci if the origin is shifted to the point o'(2,2),the direction of axes remaining the same:3x-y+2=0​

Answer 1

3X'-Y'+10=0

Step-by-step explanation:

Given equation is 3x -y+2= 0

If the loci origin is shifted to O'(2,2)

Then x= X'+2 and y= Y'+2

Then the equation becomes

3(X'+2)-(Y'+2)+2=0

⇔3X'+6-Y'+2+2=0

⇔3X'-Y'+10=0

Answer 2

Step-by-step explanation:

0'(2,2)

Equation: 3x-y+2=0

soln: x=X+2

y=Y+2

3(X+2)-(Y+2)+2=0

3X+6-Y-2+2=0

:. 3X-Y+6=0