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Distance Formula

If the perpen...

Question

If the perpendicular distance of a point $P$ from the $x$ -axis is $5$ units and the foot of the perpendicular lines on the negative direction of $x$ -axis, then the point P has?

x

coordinate

= 5

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y

coordinate

= 5

only

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y

coordinate

= - 5

only

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y

coordinate

= 5

- 5

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Solution

The correct option is D $y$ coordinate $= 5$ or $- 5$
$T h e f o o t o f t h e p e r p e n d i c u l a r f r o m t h e p o i n t P t o t h e X - a x i s i s t o t h e n e g a t i v e d i r e c t i o n o f X - a x i s . ∴ I t s c o o r d i n a t e i s (- x, 0) T h e l e n g t h o f t h e p e r p e n d i c u l a r i s 5 u n i t s . S o t h e o r d i n a t e o f P w i l l b e 0 \pm 5 = + 5 o r - 5. A n s - O p t i o n D$

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Similar questions

Q. If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has
(a) x-coordinate 5
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(c) y-coordinate = – 5 only
(d) y-coordinate = 5 or –5

Q. Question 12
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If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lines on the negative direction of x-axis, then the point P has?

The correct option is D y coordinate =5 or −5ThefootoftheperpendicularfromthepointPtotheX−axisistothenegativedirectionofX−axis.∴Itscoordinateis(−x,0)Thelengthoftheperpendicularis5units.SotheordinateofPwillbe0±5=+5or−5.Ans−OptionD

If the perpendicular distance of a point $P$ from the $x$ -axis is $5$ units and the foot of the perpendicular lines on the negative direction of $x$ -axis, then the point P has?