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Which of the following statement is false?
1) The area of a triangle is invariant under the translation of the axes
2) The slope of a straight line is invariant under the translation of the axes
3) The shifting of origin to another point, while changing the direction of the axes, is called translation of axes.
4) If $f(x, y)=0$ is transformed equation of a curve when the axes are translated to the point $(h, k)$ then the original equation of the curve is $f(x-h, y-k)=0$
Options:
1) The area of a triangle is invariant under the translation of the axes
2) The slope of a straight line is invariant under the translation of the axes
3) The shifting of origin to another point, while changing the direction of the axes, is called translation of axes.
4) If $f(x, y)=0$ is transformed equation of a curve when the axes are translated to the point $(h, k)$ then the original equation of the curve is $f(x-h, y-k)=0$
Solution:
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3
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