KC Sinha Mathematics Solution Class 11 Chapter 20 Cartesian System of Rectangular Coordianates Exercise 20.5

 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) $x^{2}+y^{2}-4 x-8 y+3=0$