Question

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

A
(7,0) or (7,0)
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B
(0,7) or (0,7)
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C
(7,7) or (7,0)
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D
(7,7) or (7,7)
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Solution

## The correct option is A (7,0) or (−7,0)Apoint,whoseco−ordinatesare(x,0)i.eordinateis0,willlieontheX−axisthoughxmaytakeanyvalue.Alsoapoint,whoseco−ordinatesare(0,y)i.eabscissais0,willlieontheY−axisthoughymaytakeanyvalue.Case(i)LetthepointbeP.ItliesontheX−axis.∴theordinateofPis0.AgainPisatadistanceof7unitsfromtheY−axis.∴Itsabscissais±7.Sotheco−ordinatesofPare(7,0)or(−7,0)Case(ii)IfPliesontheY−axisatadistanceof7unitsfromX−axisthentheabscissaofPis0&theordinateswillbe±7.Theco−ordinatesofPare(0,7)or(0,−7).Ans−Case(i)Theco−ordinatesofPare(7,0)or(−7,0).Case(ii)Theco−ordinatesofPare(0,7)or(0,−7).

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