Question

Let A = (1, 0) and B = (2, 1). The line AB
turn about A through an angle pie/6 in the
clockwise sense, and the new position of B
is B'. Then B' has the coordinates
6
(A)
3+13 3-1
2. 2
(B)
3-13 13+1
2 ? 2
(C)
1-13 1+13
2 2
(D) None of these​

Answer 1

Step-by-step explanation:

Given, points are A=(1,0) and B=(2,1)

Slope of AB=

2−1

1−0

=1

Then angle of AB with x-axis is

∠BAX=45

0

Hence, ∠B

′

AX=45

0

−30

0

=15

0

Therefore for B

′

(h,k)

h=1+

2

cos15

0

,k=

2

sin15

0

We have, sin(15

0

)=

4

6

−

2

⇒cos(15

0

)=

4

6

+

2

⇒h=

2

3+

3

,k=

2

3

−1