Question
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?
A.
B.
C.
D.
Answer B.
Answer explanationShare via Whatsapp
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।
Comments

View Similar questions (संबन्धित प्रश्न देखें)

Question
If 3A = 5B, then what is the value of (A + B)/B?
यदि 3A = 5B, तो (A + B) / B का मान क्या है?
A.
B.
C.
D.
Answer B.
Question
47 + 345 ÷ 15 × 2 = ?
47 + 345 ÷ 15 × 2 = ?
A.
B.
C.
D.
Answer D.
Question
What approximate value should come in place of the question mark (?) in the following equation? 85.147 + 34.912 x 6.2 + ? = 802.293
निम्नलिखित समीकरण में प्रश्न चिह्न (?) के स्थान पर क्या अनुमानित मान आना चाहिए? 85.147 + 34.912 x 6.2 +? = 802.293
A.
B.
C.
D.
Answer C.
Question
Find the number of trailing Zeros in 142!
142! में पीछे शून्य की संख्या ज्ञात कीजिये I
A.
B.
C.
D.
Answer C.