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Question

The line joining two points A (2, 0), B (3, 1) is rotated about A in anti - clockwise direction through an angle of 15. Then the equation of the line in the new position if B goes to C in the new position, is


Your Answer
A
Correct Answer
B
Your Answer
C
Your Answer
D
None of these

Solution

The correct option is C
The slope of the line AB is given by m=1032=1

1=tanθθ=π4
The line makes on angle of 45 with x-axis.
Now, AB is rotated through 15.So, it makes an angle of 60 with x – axis Therefore, the equation of AC is
x2cos60=y0sin60
x212=y32
Hence, (b) is the Correct Answer.

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