Trigonometric EquationHard
Question
Locus of |z - cosθ - icosθ|+|z - sinθ + isinθ| = √2(where θ is constant, i =√-1 and z ∈ C) is
Options
A.ellipse
B.circle
C.hyperbola
D.line segment
Solution
|z - cosθ - icosθ| + |z - sinθ + isinθ| = √2
distance AB =
= √2PA + PB = AB ⇒ P lies on segment AB.
Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
The number of values of x in the interval [0,5π] satisfying the equation [0,5π] is...The integral values of ′a′ for which the equation cos2x - (a2 + a + 5)|cos x| + (a3 + 3a2 + 2a + 6) = 0 hasa...If $cotx = \frac{5}{12}$ for some $x \in \left( \pi,\frac{3\pi}{2} \right)$, then$$sin7x\left( cos\frac{13x}{2} + sin\fr...Total number of integral values of ′n′ so that sin x (sin x + cos x) = n has at least one solution is-...If 2 cos2 x + 3 sin x - 3 = 0, 0 ≤ x ≤ 180o the value of x is-...