A point lies on the $x$ -axis at a distance of $7$ units from the $y$ -axis. What are its coordinates?

(7, 0)

(- 7, 0)

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(0, 7)

(0, 7)

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(7, 7)

(- 7, 0)

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(7, 7)

(- 7, 7)

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Solution

The correct option is A $(7, 0)$ or $(- 7, 0)$
$A p o i n t, w h o s e c o - o r d i n a t e s a r e (x, 0) i . e o r d i n a t e i s 0, w i l l l i e o n t h e X - a x i s t h o u g h x m a y t a k e a n y v a l u e . A l s o a p o i n t, w h o s e c o - o r d i n a t e s a r e (0, y) i . e a b s c i s s a i s 0, w i l l l i e o n t h e Y - a x i s t h o u g h y m a y t a k e a n y v a l u e . C a s e (i) L e t t h e p o i n t b e P . I t l i e s o n t h e X - a x i s . ∴ t h e o r d i n a t e o f P i s 0. A g a i n P i s a t a d i s t a n c e o f 7 u n i t s f r o m t h e Y - a x i s . ∴ I t s a b s c i s s a i s \pm 7. S o t h e c o - o r d i n a t e s o f P a r e (7, 0) o r (- 7, 0) C a s e (i i) I f P l i e s o n t h e Y - a x i s a t a d i s t a n c e o f 7 u n i t s f r o m X - a x i s t h e n t h e a b s c i s s a o f P i s 0 & t h e o r d i n a t e s w i l l b e \pm 7. T h e c o - o r d i n a t e s o f P a r e (0, 7) o r (0, - 7) . A n s - C a s e (i) T h e c o - o r d i n a t e s o f P a r e (7, 0) o r (- 7, 0) . C a s e (i i) T h e c o - o r d i n a t e s o f P a r e (0, 7) o r (0, - 7) .$

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A point lies on the x-axis at a distance of 7 units from the y-axis. What are its coordinates?

A point lies on the $x$ -axis at a distance of $7$ units from the $y$ -axis. What are its coordinates?