If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a^2 + b^2 + c^2)

यदि a (a + b + c) = 45, b (a + b + c) = 75 और c (a + b + c) = 105 है, तो (a^2 + b^2 + c^2) का मान क्या है?

B.a (a + b + c) = 45 …….(1) b (a + b + c) = 75 ……..(2) c (a + b + c)= 105 …….(3) Add equation (i), (ii) and (iii), (a + b + c) (a + b + c) =45 + 75 + 105 (a + b + c)^2 = 225 (a + b + c) = 15 Put the value of (a + b + c) in equation (1), (2) and (3). a × 15 = 45 a=3 b × 15 = 75 b=5 c × 15 = 105 c=7 Now- (a^2 + b^2 + c^2)=3^2+5^2+7^2 =9 + 25 + 49 =83 So the correct answer is option B.

B.a (a + b + c) = 45 …….(1) b (a + b + c) = 75 ……..(2) c (a + b + c)= 105 …….(3) समीकरण (i), (ii) और (iii) को जोड़ने पर (a + b + c) (a + b + c) =45 + 75 + 105 (a + b + c)^2 = 225 (a + b + c) = 15 (a + b + c)का मान समीकरण (1), (2) और (3) में रखने पर a × 15 = 45 a=3 b × 15 = 75 b=5 c × 15 = 105 c=7 अब - (a^2 + b^2 + c^2)=3^2+5^2+7^2 =9 + 25 + 49 =83 इसलिए सही उत्तर विकल्प B है।

Simplify- (31/10) * (3/10) + (7/5) / 20

सरल कीजिए- (31/10) * (3/10) + (7/5) / 20

If P = (v7 - v6)/(v7 + v6), then what is the value of P + (1/P)?

यदि P = (√7 - √6)/(√7 + √6), तो P + (1/P) का मान क्या है?

(a + b + c)² – (a – b – c)² = ?

(a + b + c)² - ((a - b - c)² =?

If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x

यदि 2x + 3y = 30 और (x + y) / y = 11/8, तो 5y + 6x का मान ज्ञात करें?