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।

If x^3 + 2x^2 – 5x + k is divisible by x + 1, then what is the value of k?

यदि x^3 + 2x^2 - 5x + k , x + 1 से विभाज्य है, तो k का मान क्या है?

892.7 – 573.07 – 95.007 =?

892.7 - 573.07 - 95.007 =?

If 1/N = ( v6 + v5)/( v6 - v5), then what is the value of N?

यदि 1/N = ( √6 + √5) / ( √6 - √5), तो N का मान क्या है?

If a + b = -2 and a - b = 12, find b.

यदि a + b = -2 और a - b = 12 है, तो b मान ?