First slide

Equation of line in Straight lines

Question

If the point (2 cos $θ$ , 2 sin $θ$ ) does not fall in that angle between the lines y = |x – 2| in which the origin lies then $θ$ belongs to

Moderate

A

$(\frac{π}{2}, \frac{3 π}{2})$
B

$(- \frac{π}{2}, \frac{π}{2})$
C

$(0, π)$
D

none of these

Solution

Clearly the point (2 cos $θ$ , 2 sin $θ$ ) lies on the circle
The two lines represented by the equation y = |x – 2|
are y = x – 2 and y = 2 – x.
From the figure, $θ$ can be vary from $- \frac{π}{2} t o \frac{π}{2}$

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