WebThe correct option is C H. P. Step 1. Finding the value of a, b, c: Given, ( b + c - a) a, ( c + a - b) b, ( a + b - c) c are in A P Add 2 to all terms. ⇒ b + c - a a + 2, c + a - b b + 2, a + b … WebIf a^2 (b + c),b^2 (c + a),c^2 (a + b) are in AP, show that either a,b,c are in AP or ab + bc + ca = 0 Question If a 2(b+c),b 2(c+a),c 2(a+b) are in AP, show that either a,b,c are in …

If a, b, c are in A.P., Show that 2b = a + c - Sarthaks eConnect ...

WebMultiplying both the sides by ⇒ b − a ( c + a) ( c + b) = c − b ( b + a) ( c + a) [ Multiplying both the sides by 1 c + a] ⇒ 1 c + a − 1 b + c = 1 a + b − 1 c + a are in A . P ∴ ′ 1 b + c, … WebThis means that 4 ∣ (a + b − c)(a + b + c) = (a + b)2 − c2 = a2 + b2 − c2 + 2ab = 2ab. Since 4 ∣ 2ab, you have that 2 ∣ ab. So one of a, b must be even by Lemma 2. Lemma 1 can be … the business selling gift cards

If a2, b2, c2 are in A.P. prove that a/b+c, b/c+a, c/a+b are ... - Byju

Web11 aug. 2024 · Please see below. As a,b,c are in A.P., we have 2b=a+c and hence a^2(b+c)+c^2(a+b) = a^2b+a^2c+c^2a+c^2b = a^2b+ac(a+c)+bc^2 = … Web21 aug. 2024 · At some point I discovered that these could easily be shortened to if a in {b, c, d}: or if a in (b, c, d): if the values aren't hashable. However, I have never seen such a … Web27 dec. 2024 · If a, b, c are in A.P., then prove that : (i)`ab+bc=2b^(2)` (ii) `(a-c)^(2)=4(b^(2)-ac)` (iii) `a^(2)+c^(2)+4ca=2(ab+bc+ca).`jee mains 2024, jee main january... If a, b, c... tasty air fryer fries