if the distance between the points P (4, 0) and Q (0, x) is 5 units,
then find the value of x
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Step-by-step explanation:
If the distance between P (4, 0) and Q(0, x) is 5 units, the value of x will be * 1 point.
Distance Formulae :
\sf{ \sqrt { { x_{2} - x_{1} } ^ 2 + {y_{2} - y_{1} } ^ 2 } }x2−x12+y2−y12
Substituting the given Values ,
\sf{ \sqrt { { 0 - 4 } ^ 2 + {x - 0 } ^ 2 } }0−42+x−02
=> \sf{ \sqrt { 16 + {x} ^ 2 } }16+x2
=> Squareing :
X^2 + 16 = 25
=> X ^ 2 = 9
=> X = 3 and -3
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