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Perpendicular Distance of a Point from a Plane

Which of the ...

Question

Which of the lettered points in the figure above has coordinates $(x, y)$ such that $| x | + | y | = 5$ ?

A

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B

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C

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D

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E

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Solution

The correct option is B $B$
Given that $| x | + | y | = 5$
From $B, (x, y) = (- 4, 1)$
(-4) in x-axis and 1 in y-axis
$\Rightarrow | x | + | y | = | - 4 | + | 1 | = 5$

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Fill in the blanks:

(a) The y-coordinate of a point on the x-axis is ____________.

(b) The x-axis coordinate is called as ____________.

(d) If a point (x, y) ≠ (0, 0) is in the third quadrant, then x + y has _____________ sign.

(e) If a point (x, y) lies above horizontal axis, then y is always _____________.

(f) The point of intersection of x = y and x = − y is ____________.

(g) The line y = 4x + 5 intersects y-axis at the point ____________.

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