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Question

Find such a point whose ordinate is twice the abscissa and it also passes through the line 7x - 3y = 8.


A

(8,16)

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B

(2,4)

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C

(3,6)

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D

(6,3)

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Solution

The correct option is A

(8,16)


Let, the abscissa x = k and the ordinate y = 2k.
Putting the value in the given equation:
7(k) - 3(2k) = 8
k=8
Thus, abcissa x = k = 8 and ordinate y = 2k = 16.
So, the given point is (8,16).


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