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If the co-ordinate of A is x and that of B is . y, find d(A, B). i. x = 1, y = 7 ii. x = 6, y = -2 iii. x = -3, y = 7 iv. x = -4, y = -5 v. x = -3, y = -6 vi. x = 4, y = -8 |
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Answer» i. Co-ordinate of point A is x = 1. Co-ordinate of point B is y = 7 Since, 7 > 1 ∴ d(A, B) = 7 – 1 ∴ d(A, B) = 6 ii. Co-ordinate of point A is x = 6. Co-ordinate of point B is y = -2. Since, 6 > -2 ∴ d(A, B) = 6 – ( -2) = 6 + 2 ∴ d(A, B) = 8 iii. Co-ordinate of point A is x = -3. Co-ordinate of point B is y = 7. Since, 7 > -3 ∴ d(A, B) = 7 – (-3) = 7 + 3 ∴ d(A, B) = 10 iv. Co-ordinate of point A is x = -4. Co-ordinate of point B is y = -5. Since, -4 > -5 ∴ d(A, B) = -4 – (-5) = -4 + 5 ∴ d(A, B) = 1 v. Co-ordinate of point A is x =-3. Co-ordinate of point B is y = -6. Since, -3 > -6 ∴ d(A, B) = -3 – (-6) = -3 + 6 ∴ d(A, B) = 3 vi. Co-ordinate of point A is x = 4. Co-ordinate of point B is y = -8. Since, 4 > -8 ∴ d(A, B) = 4 – (-8) = 4 + 8 ∴ d(A, B) = 12 |
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