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Vector Addition

A circle that...

Question

A circle that can be drawn to touch the coordinate axes and the line $4 x + 3 y = 12$ can not lie in

first quadrant.

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second quadrant.

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third quadrant.

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fourth quadrant.

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Solution

The correct option is B third quadrant.
Given line lie in first, second and fourth quadrant,
So the circle touching both the axes and the the line can not lie in the third quadrant.

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4 x + 3 y - 12 = 0

4 x + 3 y = 12

4 x + 3 y = 12

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x y - 4 x - 4 y + 16 = 0

C_{2}

4 x + 3 y = 12

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