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Question
If the distance between the points P (x, 2) and Q (3, –6) is 10 units, then x = _____.
If the distance between the points P (x, 2) and Q (3, –6) is 10 units, then x = _____.
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Solution
The correct options are
B -3
C 9
Distance between the points (x1,y1) and (x2,y2) is given by
√(x2−x1)2 + (y2−y1)2
∴PQ=√(3−x)2+(−6−2)2=10(3−x)2+(8)2=100(3−x)2+64=100(3−x)2=363−x=±6x=−3 or 9
B
-3
C
9
Distance between the points (x1,y1) and (x2,y2) is given by
√(x2−x1)2 + (y2−y1)2
∴PQ=√(3−x)2+(−6−2)2=10(3−x)2+(8)2=100(3−x)2+64=100(3−x)2=363−x=±6x=−3 or 9
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