MathematicsAssertion: Three points A, B and C are such that AB+BC>AC, are such thatthen they are collinear.Reason: Three points are collinear if they lie on a straight line.

Assertion: Three points A, B and C are such that AB+BC>AC, are such thatthen they are collinear.


Reason: Three points are collinear if they lie on a straight line.


  1. A
    If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
  2. B
    If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
  3. C
    If Assertion is correct but Reason is incorrect.
  4. D
    If Assertion is incorrect but Reason is correct. 

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    Solution:

    We have been given,
    Three points A, B and C are such that AB - BC = AC.
    The slopes of lines connecting any two collinear points are equal, indicating that the three points are on a straight line.
    If and only if AB + BC = AC, the points A, B, and C are said to be collinear.
    Therefore, the claim is untrue. The collinear points are located on a straight line, as was already mentioned.
    Which suggests that the explanation is accurate.
    Therefore, the assertion is incorrect but the reason is correct.
    Hence, option 4 is correct.
     
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