Math, asked by SnehaGandhi, 1 year ago

find values of a, if the distance between the points P(3,14) and Q(a,-5) is 9 units

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Answered by omprakash996
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Rohan asked in Math

Find the value(s) of 'x' for which the distance between the points P(x,4) and Q(9,10) is 10 units.

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Aakash Sharma answered this

Given: Coordinates of P and Q are (x, 4) and (9, 10) and PQ = 10 units

 

⇒ (PQ)2 = (10 units)2 = 100 units2

⇒ (9 – x)2 +  (10 – 4)2 = 100

⇒ 81 – x2 – 18x + 36 = 100

⇒ x2 – 18x + 17 = 0

⇒ (x – 1) (x – 17) = 0

⇒ x = 1  or  x = 17

 

Hence the value of x is 1 or 17.


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Answered by godoofwar
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Are yar Pata nahi he mere ko upar likha है answer
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