CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
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

A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B
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.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Straight Line
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon