Questions
The angle made by the perpendicular drawn from the origin to the line with axis is
a
tan−13
b
tan−11
c
tan−12
d
tan−14
detailed solution
Correct option is C
The given equation is x+2y−25=0 To reduce the general equation of the line ax+by+c=0 in normal form, isolate the constant term and then divide both sides with a2+b2 and make constant term must be positive. Hence, x+2y=25 Divide both sides with 12+22=5x5+2y5=2 By comparing the above equation with normal form of the line xcosα+ysinα=pIt implies cosα=15,sinα=25 Hence tanα=2 Therefore, the angle required is α=tan−1(2)Talk to our academic expert!
Similar Questions
A straight line is such that its distance of 5 units from the origin and its inclination is . The intercepts of the line on the co-ordinate axes are
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