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The acute angle between lines x-3=0 and ...

The acute angle between lines x-3=0 and x+y=19 is . . .

A

`60^(@)`

B

`30^(@)`

C

`90^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given lines are
x-3=0
slope of line (i), `m_(1)=oo implies tantheta_(1)=ooimpliestheta_(1)=90^(@)`
and x+y=19
`impliesy=-x+19`
Slope of line (ii), `m_(2)=tantheta_(2)=-1`
`therefore theta=135^(@)`

`therefore`Acute angle between given lines is `45^(@)`
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