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