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

Answer 1

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