Match the following expressions with their values. List-I List-II (a) If 3 cos θ + 4 sin θ = 5 , then 3 sin θ − 4 cos θ = (p) 6 1 (b) In a triangle ABC, if the ex-radii r 1 , r 2 , r 3 are in

Question

Match the following expressions with their values.

List-I	List-II
(a) If $3 cos θ + 4 sin θ = 5$ , then $3 sin θ - 4 cos θ =$	(p) $\frac{1}{6}$
(b) In a triangle ABC, if the ex-radii $r_{1}, r_{2}, r_{3}$ are in H.P., then $\frac{a + c}{b} =$	(q) 2
(c) In a triangle ABC, right angled at A, $[tan^{- 1} (\frac{c + a}{b}) + tan^{- 1} (\frac{a + b}{c})] =$ (where $[.]$ denotes the greatest integer function)	(r) 3
(d) If a circle is inscribed in an equilateral triangle of side 1, then the area of the square inscribed in the circle is	(s) 0
	(t) 6

TestHub · Accepted Answer

(a) 5 cos ( θ − α ) = 5 with cos α = 5 3 ​ , sin α = 5 4 ​ , so θ = α and 3 sin θ − 4 cos θ = 5 sin ( θ − α ) = 0 (s).

Mathematics - Properties of Triangle Question with Solution | TestHub