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The locus of points whose abscissa and ordinate are equal is:

a) [tex]x + y + 1 = 0[/tex]
b) [tex]x - y = 0[/tex]
c) [tex]x + y = 1[/tex]
d) None of these

Sagot :

GinnyAnsweridn
To find the locus of points where the abscissa (x) and ordinate (y) are equal, we start by defining the relationship between these two coordinates. If the abscissa and ordinate are equal, it means that:

[tex]\[ x = y \][/tex]

This can be rearranged to form an equation that describes this relationship:

[tex]\[ x - y = 0 \][/tex]

Thus, the equation representing the locus of points where the abscissa equals the ordinate is:

[tex]\[ x - y = 0 \][/tex]

Now we compare this with the given options:

a) [tex]\( x + y + 1 = 0 \)[/tex]
b) [tex]\( x - y = 0 \)[/tex]
c) [tex]\( x + y = 1 \)[/tex]
d) None of these

The correct choice is:

b) [tex]\( x - y = 0 \)[/tex]

So, the answer is:
b) [tex]\( x - y = 0 \)[/tex]
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