The coordinates of a point which is equidistant from the points (0, 0, 0), (o, 0, 0), (0, b, 0), (0,0, c) are given by

The coordinates of a point which is equidistant from the points (0, 0, 0), (o, 0, 0), (0, b, 0), (0,0, c) are given by

  1. A

    a2,b2,c2

  2. B

    a2,b2,c2

  3. C

    a2,b2,c2

  4. D

    a2,b2,c2

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Let P be any point in a space. According to the given condition, 

    (x0)2+(y0)2+(z0)2=(xa)2+y2+z2=x2+(yb)2+z2=x2+y2+(zc)2

    On squaring both sides, we get 

     x2+y2+z2=(xa)2+y2+z2=x2+(yb)2+z2=x2+y2+(zc)2 x2+y2+z2=x2+a22ax+y2+z2  a22ax=0 x=a2

    Similarly, we can solve the other values, we get

    y=b2,z=c2

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.