Trigonometric EquationHard
Question
The sum of two forces is 18 N and resultant whose direction is at right angles to the smaller force is 12 N. The magnitude of the two forces are
Options
A.13, 5
B.12, 6
C.14, 4
D.11, 7
Solution
Let two forces be P and Q. Given P + Q = 18 and
⇒ P2 + 144 = Q2 = (18-P)2; ⇒ P2 + 144 = 324 - 36P + P2
⇒ 36P = 180 ⇒ P = 5 and Q = 13
(where
and 
are unit vectors along P and Q).Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
If the distance of the point P (1, - 2, 1) from the plane x + 2y - 2z = α, where α > 0, is 5, then the foot of...A curve which passes through origin and satisfies(y + sinx . cos2(xy))sec2(xy)dx + (xsec2(xy) + siny)dy = 0 will be -...Locus of centroid of the triangle whose vertices are (a cos t, a sin t), (b sin t, - b cos t) and (1, 0), where t is a p...cot 10o then the value of a + b is :-...The number of values of in the interval [-π, π] satisfying the equation cos θ + sin 2θ = 0 is-...