Question

The line 2x - y = 3 is rotated through an angle
position is
in anticlockwise direction about the point (2, 1), then equation of line in its new​

Answer 1

Answer:

Given:

A(2,0)≡(x

1

,y

1

) and B(3,1)≡(x

2

,y

2

)

Slope of AB=

x

2

−x

1

y

2

−y

1

Slope of AB=

3−2

1−0

=1=tan45

∘

⇒∠BAX=45

∘

....(From figure)

If AC is the new position of the line AB, then ∠CAX=45

∘

+15

∘

=60

∘

.

And thus its equation is y=tan60

∘

(x−2)

⇒y=

3

(x−2)

⇒

3

x−y=2

3