Trigonometric EquationHard
Question
Locus of mid point of the portion between the axes of x cos α + y sin α = p where p is constant is
Options
A.x2 + y2 = 
B.x2 + y2 = 4p2
C.
D.
Solution
Equation of AB is x cos α + y sin α = p ⇒
= 1 ⇒ 
So co-ordinates of A and B are
and 
; So coordinates of mid point of AB are 
= (x1, y1)(let) ; x1 = 
& y1 = 
; ⇒ cosα = p/2x1 and sin α = p/2y1 ; cos2α + sin2α = 1 ⇒
Locus of (X1, y1) is
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