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
Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
If θ is an acute angle such that tan2θ = , then the value of is -...Area bounded by y = 2x2 & y = will be (in square unit)...The real value of θ for which the expression 1+i cosθ1-2i cosθ is a real number is (n ∈ I)Â...The set of values of x for which sin x . cos3 x > cos x . sin3 x, 0 ≤ x ≤ 2π, is-...a square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an ...