Questions
A line joining two points A(2, 0) and B(3, 1) is rotated about A in anticlockwise direction through an angle 15°. If B goes to C in the new position, then the coordinates of C are
a
2,32
b
2,-32
c
2+12,32
d
None of these
detailed solution
Correct option is C
Slope of line AB=0-12-3==tan450∴ ∠BAX=450Given ∠CAB=150∴ ∠CAX=600∴Slope of line AC = tan 60º = 3Now, line AC makes an angle of 60° with positive direction of x-axis and AC=AB=3-22+1-02=2∴ Coordinates of C are 2+2cos600,0+2sin600i.e., 2+12,32Talk to our academic expert!
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The straight line passing through and making an angle with x-axis intersects Ax+By+C=0 in Q then PQ=
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