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Question

14. in which quadrant , can a point have:

i) abscissa equal to its ordinate

ii) ordinate equal in magnitude to abscissa

iii) ordinate equal and opposite of abscissa

iv)abscissa twice that of the ordinate

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Solution

Hi!

Let P(x,y) be the point in the coordinate plane.
(i) Abscissa of the point is equal to its ordinate in first and third quadrant.
(ii) Ordinate of the point is equal in magnitude to abscissa in all the quadrants.
(iii) Ordinate of the point is equal and opposite to abscissa in second and fourth quadrant.
(iv) Abscissa of the point is equal to twice the ordinate in first and third quadrant.

Cheers!


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