A point on x-axis which is equidistance
from P(5, 4) and Q(-2, 3) is :
(a) (4, 0)
(b) (7,0)
(c) (2, 0)
(d) (8,0)
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Answer:
(c) (2,0)
Step-by-step explanation:
Let the required point be A(x,0).
AP=AQ
√[(x-5)^2+(0-4)^2]=√[(x+2)^2+(0-3)^2]
Squaring both sides,
x^2+25-10x+16=x^2+4+4x+9
28=14x
So, x=2
Required point (2,0). (c)
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