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Question

A line in the xy-plane passes through the origin and has a slope of 17. Which of the following points lies on the line?

A
(0,7)
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B
(1,7)
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C
(7,7)
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D
(14,2)
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Solution

The correct option is D (14,2)
If any straight line passes through origin, then it must of the form y=mx.

Now if the slope is 17, then line will be y=17x or 7yx=0

We can see out of all the points only point (14,2) satisfies the equation of the line. Hence Only (14,2) lies on the line.

Correct option is D

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