Analytically decide- at how many points does the graphs of the following equations cross the x-axis i- y -5ii- 3 x -27 y -27iii- x2-0A- i zeroii oneiii zeroB- i oneii oneiii twoC- i zeroii zeroiii zeroD- i zeroii oneiii one

I. y=5 Since the given line is parallel to x axis it will never cut the x axis nbsp; ii. nbsp;3x 27y= 27 Since the slope of the given line is not zero. It ...

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Standard XII

Physics

Introduction

Analytically ...

Question

Analytically decide, at how many points does the graphs of the following equations cross the $x$ -axis
i. $y = 5$
ii. $3 x - 27 y = - 27$
iii. $x^{2} = 0$

(i) zero
(ii) one
(iii) one

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(i) zero
(ii) one
(iii) zero

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(i) one
(ii) one
(iii) two

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

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. 3x−27y=−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.

Analytically decide, at how many points does the graphs of the following equations cross the $x$ -axis
i. $y = 5$
ii. $3 x - 27 y = - 27$
iii. $x^{2} = 0$