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Question

Analytically decide, at how many points does the graphs of the following equations cross the x-axis
i. y=5
ii. 3xāˆ’27y=āˆ’27
iii. x2=0

A
(i) zero
(ii) one
(iii) one
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B
(i) zero
(ii) one
(iii) zero
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C
(i) one
(ii) one
(iii) two
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D
(i) zero
(ii) zero
(iii) zero
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Solution

The correct option is B (i) zero
(ii) one
(iii) zero
i. y=5
Since the given line is parallel to x-axis it will never cut the x-axis

ii. 3x27y=27
Since the slope of the given line is not zero. It will cut the x-axis at one point

iii.This curve will touch the x-axis but never cut it.

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