Software Development Exam > Software Development Questions > If (d + e + f) = 14, (d2 + e2 + f2) = 96, the...
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If (d + e + f) = 14, (d2 + e2 + f2) = 96, then find the value of (de + ef + fd).
- a)75
- b)25
- c)50
- d)100
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If (d + e + f) = 14, (d2 + e2 + f2) = 96, then find the value of (de +...
Given:
(d + e + f) = 14
(d
2
+ e2
+ f2
) = 96Formula Used:
(a + b + c)2 = 2 ×
(ab + bc + ca) + a
2
+ b
2
+ c
2
Calculation:
⇒ (d + e + f)
2
= 2 × (de + ef + fd) + d
2
+ e
2
+ f
2
⇒ ( 14)2 =
2×
(de + ef + fd) + 96
⇒ 2 ×
(de + ef + fd) = 196 - 96 = 100
⇒ (de + ef + fd) = 100/2 = 50
∴ The value of (de + ef + fd) is 50.
Most Upvoted Answer
If (d + e + f) = 14, (d2 + e2 + f2) = 96, then find the value of (de +...
Given Information:
- (d + e + f) = 14
- (d^2 + e^2 + f^2) = 96
Calculating (de + ef + fd):
- (d + e + f)^2 = d^2 + e^2 + f^2 + 2(de + ef + fd)
- Substituting the given values, we get: 14^2 = 96 + 2(de + ef + fd)
- Simplifying, we find: 196 = 96 + 2(de + ef + fd)
- Rearranging the equation, we have: 2(de + ef + fd) = 196 - 96
- Therefore, 2(de + ef + fd) = 100
- Finally, (de + ef + fd) = 100 / 2 = 50
Therefore, the value of (de + ef + fd) is 50, which corresponds to option 'C'.
- (d + e + f) = 14
- (d^2 + e^2 + f^2) = 96
Calculating (de + ef + fd):
- (d + e + f)^2 = d^2 + e^2 + f^2 + 2(de + ef + fd)
- Substituting the given values, we get: 14^2 = 96 + 2(de + ef + fd)
- Simplifying, we find: 196 = 96 + 2(de + ef + fd)
- Rearranging the equation, we have: 2(de + ef + fd) = 196 - 96
- Therefore, 2(de + ef + fd) = 100
- Finally, (de + ef + fd) = 100 / 2 = 50
Therefore, the value of (de + ef + fd) is 50, which corresponds to option 'C'.
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If (d + e + f) = 14, (d2 + e2 + f2) = 96, then find the value of (de + ef + fd).a)75b)25c)50d)100Correct answer is option 'C'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about If (d + e + f) = 14, (d2 + e2 + f2) = 96, then find the value of (de + ef + fd).a)75b)25c)50d)100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (d + e + f) = 14, (d2 + e2 + f2) = 96, then find the value of (de + ef + fd).a)75b)25c)50d)100Correct answer is option 'C'. Can you explain this answer?.
If (d + e + f) = 14, (d2 + e2 + f2) = 96, then find the value of (de + ef + fd).a)75b)25c)50d)100Correct answer is option 'C'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about If (d + e + f) = 14, (d2 + e2 + f2) = 96, then find the value of (de + ef + fd).a)75b)25c)50d)100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (d + e + f) = 14, (d2 + e2 + f2) = 96, then find the value of (de + ef + fd).a)75b)25c)50d)100Correct answer is option 'C'. Can you explain this answer?.
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