Equation of the line which is 10 units from the origin and the normal ray from the origin to it makes an angle π4 with positive direction of x-axis measured in the clockwise direction is
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a
x+y=102
b
x + y= 202
c
x−y=102
d
x+y=2
answer is C.
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Detailed Solution
Given the perpendicular distance from origin to the line is p =10 and the angle made by the normal with x - axis is -η4 The normal form of the line is xcosα+ysinα=p, Hence, the equation of the line is xcos-45∘+ysin-45∘=10 therefore, the equation of the line is x-y=102