find the value of y for which the distance between the point p(2,3)and o(10,y)is 10units
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y=9 or -3
hope this helps you...
hope this helps you...
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Heya !!!
The given points are P(2,3) and O(10,Y)
Here,
X1 = 2 , Y1 = 3 and X2 = 10 , Y2= Y
Given that the distance between point P to point O is 10 units.
OP = 10 units
OP² = 100 units
(X2-X1)² + (Y2-Y1)² = 100
( 10 - 2)² + ( Y - 3)² = 100
(8)² + (Y)² + (3)² - 2 × Y × 3 = 100
64 + Y² + 9 - 6Y = 100
Y² - 6Y = 100-73
Y² - 6Y = 27
Y² - 9Y +3Y - 27 = 0
Y ( Y- 9 ) +3 ( Y -9) = 0
(. Y - 9) ( Y +3) = 0
(Y-9) = 0 OR ( Y +3) = 0
Y = 9 OR Y = -3
★ HOPE IT WILL HELP YOU ★
The given points are P(2,3) and O(10,Y)
Here,
X1 = 2 , Y1 = 3 and X2 = 10 , Y2= Y
Given that the distance between point P to point O is 10 units.
OP = 10 units
OP² = 100 units
(X2-X1)² + (Y2-Y1)² = 100
( 10 - 2)² + ( Y - 3)² = 100
(8)² + (Y)² + (3)² - 2 × Y × 3 = 100
64 + Y² + 9 - 6Y = 100
Y² - 6Y = 100-73
Y² - 6Y = 27
Y² - 9Y +3Y - 27 = 0
Y ( Y- 9 ) +3 ( Y -9) = 0
(. Y - 9) ( Y +3) = 0
(Y-9) = 0 OR ( Y +3) = 0
Y = 9 OR Y = -3
★ HOPE IT WILL HELP YOU ★
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