Exercise 20.5
Page no 20.49
Question 1
Find the new coordinates of point $(3,-4)$ if the origin is shifted to $(1,2)$ by a translation.
Question 2
Find the new coordinates of the points in each of the following if the origin is shifted to the point $(-3,-2)$ by a translation of axes :
(i) $(5,0)$
(ii) $(1,1)$
(iii) $(-1,-2)$
Question 3
Find the transformed equation of the straight line $2 x-3 y+5=0$, when the origin is shifted to the point $(3,-1)$ after translation of axes.
Question 4
Find what the following equations become when the origin is shifted to the point $(1,1) ?$
(i) $x y-x-y+1=0$
(ii) $x^{2}-y^{2}-2 x+2 y=0$
(iii) $x^{2}+x y-3 y^{2}-y+2=0$
(iv) $x y-y^{2}-x+y=0$
Question 5
Find the coordinates of the point to which the origin be shifted after translation of axes so that the following equations will have no first degree terms.
(i) $x^{2}-12 x+4=0$
(ii) $x^{2}+y^{2}-4 x-8 y+3=0$
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