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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,whosecoordinatesare(x,0)i.eordinateis0,willlieontheXaxisthoughxmaytakeanyvalue.Alsoapoint,whosecoordinatesare(0,y)i.eabscissais0,willlieontheYaxisthoughymaytakeanyvalue.Case(i)LetthepointbeP.ItliesontheXaxis.theordinateofPis0.AgainPisatadistanceof7unitsfromtheYaxis.Itsabscissais±7.SothecoordinatesofPare(7,0)or(7,0)Case(ii)IfPliesontheYaxisatadistanceof7unitsfromXaxisthentheabscissaofPis0&theordinateswillbe±7.ThecoordinatesofPare(0,7)or(0,7).AnsCase(i)ThecoordinatesofPare(7,0)or(7,0).Case(ii)ThecoordinatesofPare(0,7)or(0,7).
133931_77549_ans.png

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