1.

If the axes are translated to (6, 2), then the transformed form of x^2 - y^2 - 12x + 4y = 0 is​

Answer»

When the axes are translated to the POINT (1,

2

1

), the equation 5x

2

+4xy+8y

2

−12x−12y=0

transforms to

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ANSWER

⇒Let the point (x,y) on the line changes to (X,Y) on shifting the origin to (h,k).

Then, x=X+h,y=Y+k

⇒x=X+1,y=Y+

2

1

So, the equation transform to ...(substitute the values of x and y in the given equation of question)

⇒5(X+1)

2

+4(X+1)(Y+

2

1

)+8(Y+

2

1

)

2

−12(X+1)−12(Y+

2

1

)=0

⇒5X

2

+4XY+8Y

2

−9=0

So, the TRANSFORMED equation is 5X

2

+4XY+8Y

2

=9.


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