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Two sides of a rectangle are 3x+4y+5=0, ...

Two sides of a rectangle are 3x+4y+5=0, 4x-3y+15=0 and one of its vertices is (0, 0). The area of rectangle is ___.

Text Solution

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Distance of (0, 0) from the given lines is
`a = (|0 +0 +5|)/(5) = 1`
`b = (|0 -0 +15|)/(5) = 3`
`therefore " Area of rectangle "` =ab = 3 sq. units
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