Match List I with List II and select the correct answer using the code given below the lists :List IList II (A)In a △ABC,if a2+b2+c2=ab+bc+ca,then(P)△ABC is an equilateral triangle(B)In a △ABC,if a2+2b2+c2=2bc+2ab,then(Q)△ABC is a right angled triangle(C)In a △ABC,if a2+b2+c2=√2a(b+c),then(R)△ABC is a scalene triangle (D)In a △ABC,if a2+b2+c2=ca+√3ab,then(S)A=90∘,B=45∘,C=45∘ Which of the following is the only CORRECT combination?

Match List I with List II and select the correct answer using the code

1.	Match List I with List II and select the correct answer using the code given below the lists :List IList II (A)In a △ABC,if a2+b2+c2=ab+bc+ca,then(P)△ABC is an equilateral triangle(B)In a △ABC,if a2+2b2+c2=2bc+2ab,then(Q)△ABC is a right angled triangle(C)In a △ABC,if a2+b2+c2=√2a(b+c),then(R)△ABC is a scalene triangle (D)In a △ABC,if a2+b2+c2=ca+√3ab,then(S)A=90∘,B=45∘,C=45∘ Which of the following is the only CORRECT combination?
Answer» Match $List I$ with $List II$ and select the correct answer using the code given below the lists : $\begin{matrix} List I & List II (A) & In a △ A B C, if a^{2} + b^{2} + c^{2} = a b + b c + c a, then & (P) & △ A B C is an equilateral triangle (B) & In a △ A B C, if a^{2} + 2 b^{2} + c^{2} = 2 b c + 2 a b, then & (Q) & △ A B C is a right angled triangle (C) & In a △ A B C, if a^{2} + b^{2} + c^{2} = \sqrt{2} a (b + c), then & (R) & △ A B C is a scalene triangle (D) & In a △ A B C, if a^{2} + b^{2} + c^{2} = c a + \sqrt{3} a b, then & (S) & A = 90^{\circ}, B = 45^{\circ}, C = 45^{\circ} \end{matrix}$ Which of the following is the only CORRECT combination?