narayanammaatluri narayanammaatluri

13-02-2021
Mathematics

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If the coordinates of A and B are (-3, a) and (1, a+4) respectively and the mid point of AB is (-1, 1),
then find the value of 'a'.

Respuesta :

13-02-2021

[tex]a=-1[/tex]

Using the midpoint formula directly from the topic meaning

[tex]\frac{x_{1}+x_{2} }{2} or \frac{y_{1}+y_{2} }{2}[/tex]

so

[tex]\frac{a+a+4}{2} =1\\a=-1[/tex]

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