If z_1=2+3 i, z_2=4-5 i and z_3 are three points in the Argand plane such that 5 z_1+x z_2+y z_3=0(x, y \in \mathbb{R}) and z_3 is the midpoint of the line segment joining the points z_1 and z_2, then x+y=

AP EAPCET 19th May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 9 of 160

Marks: +1, -0

If z1=2+3i,z2=4−5i and z3 are three points in the Argand plane such that 5z1+xz2+yz3=0(x,y∈ℝ) and z3 is the midpoint of the line segment joining the points z1 and z2, then x+y=

−5
0
4
−1

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