Question
Class IX students of a school in Moti Nagar, Delhi have been allotted a rectangular plot of land, adjacent to their school, for gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is a triangular grassy lawn in the plot as shown in Fig. The students are to sow seeds of flowering plants on the remaining area of the plot. Considering A as origin, AD along $x$-axis and AB along $y$-axis, answer the following questions:
Image
(i) The coordinates of A are
(a) $(0,1)$$\quad$(b) $(1,0)$$\quad$(c) $(0,0)$$\quad$(d) $(-1,-1)$
(ii) The coordinates of P are
(a) $(4,6)$$\quad$(b) $(6,4)$$\quad$(c) $(4,5)$$\quad$(d) $(5,4)$
(iii) The coordinates of R are
(a) $(6,5)$$\quad$(b) $(5,6)$$\quad$(c) $(6,0)$$\quad$(d) $(7,4)$
(iv) The coordinates of D are
(a) $(16,0)$$\quad$(b) $(6,0)$$\quad$(c) $(0,16)$$\quad$(d) $(16,1)$

Answer

(i) (c): A is the origin, so its coordinates are $(0,0)$.
(ii) (a): The coordinates of P are $(4,6)$.
(iii) (a): The coordinates of R taking AD and AB as the coordinate axes are $(6,5)$.
(iv) (a): Point D lies on $x$-axis at 16 units away from the origin. So, coordinates of D are $(16,0)$.

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