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Question
Select the correct option from the given alternatives:
If A(1, −2), B(−2, 3) and C(2, −5) are the vertices of ∆ABC, then the equation of the median BE is
Options
7x + 13y + 47 = 0
13x + 7y + 5 = 0
7x − 13y + 5 = 0
13x − 7y − 5 = 0
Solution
13x + 7y + 5 = 0
Explanation:
E = `((1+2)/2,(-2-5)/2)=(3/2,(-7)/2)`
Equation of median BE is
`("y"-3)/((-7)/2-3)=("x"+2)/(3/2+2)`
∴ `("y"-3)/((-13)/2)=("x"+2)/(7/2)`
∴ 7(y − 3) = −13(x + 2)
∴ 7y − 21 = − 13x − 26
∴ 13x + 7y + 5 = 0
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