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Find the area (in square units of the ci...

Find the area (in square units of the circle which touches the lines `4x + 3y = 15 and 4x+3y = 5`.

A

4 r

B

3r

C

2 r

D

r

Text Solution

Verified by Experts

The correct Answer is:
D
Since, given lines are parallel.
`therefore d=(15-5)/sqrt(4^2+3^(2))=10/5`
` rArr` d=2=diameter of the cricle then, radius of circle =1
` therefore " area of cricle "=pir^(2)=pi sq` units
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