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f(x) Transforms to |f(x)|

If y = f x is...

Question

If y = f(x) is symmetric about the lines 3x + 4y + 1 = 0 and 4x – 3y – 7 = 0, then it must be symmetric about

(1, 1)

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(1, –1)

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(0, 0)

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(1, 0)

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Solution

The correct option is B (1, –1)
If a function is symmetric about two mutually perpendicular lines, it must be symmetric about their point of intersection.

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Similar questions

f (x, y) = 0

y = x

f (x, y) = f (y, x)

f (x, y) = 0

f (x, y) = f (- y, - x)

y = x

3 x - 4 y + a = 0

4 x - 3 y - a = 0

(1, 0)

a

3 x - 4 y + 1 = 0, 3 x - 4 y + 3 = 0, 4 x - 3 y - 1 = 0

4 x - 3 y - 2 = 0,

x - y - 1 = 0

2 x - 3 y + 1 = 0

3 x + 4 y - 14 = 0

f (x) = sin x

x = 0

(R)

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