Question
The points $5 \pm 2 \mathrm{i},-5 \pm 2 \mathrm{i}$(a) lie on a circle(b) are the vertices of a square(c) are the vertices of a rectangle(d) lie on an ellipse
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These are complex numbers, where the real part represents the x-coordinate and the imaginary part represents the y-coordinate. Show more…
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Two points $(a, 3)$ and $(5, b)$ are the opposite vertices of a rectangle, If the coordinates $(x, y)$ of the other two vertices satisfy the relation $y=2 x+c$ where $c^{2}$ $+2 a-b=0$, then the value $c$ can be (a) $2 \sqrt{2}+1$ (b) $2 \sqrt{2}-1$ (c) $1-2 \sqrt{2}$ (d) $-1-2 \sqrt{2}$
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