If the axes are translated to (6, 2), then the transformed form of x^2 - y^2 - 12x + 4y = 0 is
Answers
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.
Answer:
9
Step-by-step explanation:
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.