P is a point on x axis and q is on y axis both are equidistant from the points (7,6) & (3,4) distance between p and q is
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15 root 5 / 2
Step-by-step explanation:
Solution
Let the coordinates of P be (x, 0)(x, 0) and of Q be (0, y)(0, y) , then
(x−7)2+62=(x−3)2+42⇒x=152(x−7)2+62=(x−3)2+42⇒x=152 and
72+(y−6)2=32+(y−4)2⇒y=1572+(y−6)2=32+(y−4)2⇒y=15
So, coordinates of P are (152, 0)(152, 0) and of Q are (0, 15)(0, 15)
⇒PQ=(152)2+(15)2−−−−−−−−
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