Match the following: P If x, y ∈ R+satisfy log 8 x+ log 4 y2=5 and log 8 y+ log 4 x2=7 then the value of (x2+y2/2080)= 1 6 Q In triangle ABC A, B, C are in A.P. and sides a , b and c are in G.P. then a2(b-c)+b2(c-a)+c2(a-b)= 2 3 R If a, b, c are three positive real numbers then the minimum value of (b+c/a)+(a+c/b)+(a+b/c) is 3 0 S In triangle ABC ,( a + b + c )( b + c - a )=λ bc where λ ∈ I, then greatest value of λ is 4 2

Question

Match the following: P If x, y ∈ R+satisfy log 8 x+ log 4 y2=5 and log 8 y+ log 4 x2=7 then the value of (x2+y2/2080)= 1 6 Q In triangle ABC A, B, C are in A.P. and sides a , b and c are in G.P. then a2(b-c)+b2(c-a)+c2(a-b)= 2 3 R If a, b, c are three positive real numbers then the minimum value of (b+c/a)+(a+c/b)+(a+b/c) is 3 0 S In triangle ABC ,( a + b + c )( b + c - a )=λ bc where λ ∈ I, then greatest value of λ is 4 2 (A) P =3, Q=2 , R=1 ,S= 4 (B) P =4, Q= 3, R= 1,S= 2 (C) P =2, Q=1 , R= 4,S= 3 (D) P =1, Q=2 , R=3 ,S= 4

Tardigrade Admin · Accepted Answer

Correct answer is (b) P =4, Q= 3, R= 1,S= 2

P	If $x, y \in R^{+}$ satisfy $lo g_{8} x + lo g_{4} y^{2} = 5$ and $lo g_{8} y + lo g_{4} x^{2} = 7$ then the value of $\frac{x ^{2} + y ^{2}}{2080} =$	1	6
Q	In $△ A BC$ A, B, C are in A.P. and sides $a, b$ and $c$ are in G.P. then $a^{2} (b - c) + b^{2} (c - a) + c^{2} (a - b) =$	2	3
R	If $a, b, c$ are three positive real numbers then the minimum value of $\frac{b + c}{a} + \frac{a + c}{b} + \frac{a + b}{c}$ is	3	0
S	In $△ A BC, (a + b + c) (b + c - a) = λb c$ where $λ \in I$ , then greatest value of $λ$ is	4	2