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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

MathematicsMediumsingle choice

If $f (x + y) = f (x) f (y)$ for all $x, y, f (1) = 2$ and $α_{n} = f (n)$ , find the circle with $(α_{1}, α_{2})$ and $(α_{3}, α_{4})$ as endpoints of a diameter.

Options:

Answer:

Solution:

For positive integers $f (n) = 2^{n}$ , giving diameter endpoints $(2, 4)$ and $(8, 16)$ . The circle is $(x - 2) (x - 8) + (y - 4) (y - 16) = 0$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:General, Basic geometries, Definition Diametrical form of circle

⏱ 2mℹ️ Source: QB

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