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If x = – 2 y = – 1 and z = 3 then what is the value of x2 + y2 – z2
- a)–2
- b)–4
- c)–8
- d)–12
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If x = – 2 y = – 1 and z = 3 then what is the value of x2 ...
Required value
= x2 + y2 – z2
= (–2)2 + (–1)2– (3)2 = 4 + 1 – 9
= 5 – 9 = – 4
= x2 + y2 – z2
= (–2)2 + (–1)2– (3)2 = 4 + 1 – 9
= 5 – 9 = – 4
Most Upvoted Answer
If x = – 2 y = – 1 and z = 3 then what is the value of x2 ...
Understanding the Problem
To solve the expression x² + y² - z² with the values x = -2, y = -1, and z = 3, we must first calculate each squared value separately.
Step 1: Calculate x²
- Given x = -2
- Calculate x²:
- (-2)² = 4
Step 2: Calculate y²
- Given y = -1
- Calculate y²:
- (-1)² = 1
Step 3: Calculate z²
- Given z = 3
- Calculate z²:
- 3² = 9
Step 4: Substitute Values into the Expression
Now we substitute the calculated values into the original expression:
- x² + y² - z²
- = 4 + 1 - 9
Step 5: Perform the Addition and Subtraction
- First, add x² and y²:
- 4 + 1 = 5
- Next, subtract z² from the sum:
- 5 - 9 = -4
Final Answer
The value of x² + y² - z² is -4.
Thus, the correct answer is option 'B'.
To solve the expression x² + y² - z² with the values x = -2, y = -1, and z = 3, we must first calculate each squared value separately.
Step 1: Calculate x²
- Given x = -2
- Calculate x²:
- (-2)² = 4
Step 2: Calculate y²
- Given y = -1
- Calculate y²:
- (-1)² = 1
Step 3: Calculate z²
- Given z = 3
- Calculate z²:
- 3² = 9
Step 4: Substitute Values into the Expression
Now we substitute the calculated values into the original expression:
- x² + y² - z²
- = 4 + 1 - 9
Step 5: Perform the Addition and Subtraction
- First, add x² and y²:
- 4 + 1 = 5
- Next, subtract z² from the sum:
- 5 - 9 = -4
Final Answer
The value of x² + y² - z² is -4.
Thus, the correct answer is option 'B'.
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If x = – 2 y = – 1 and z = 3 then what is the value of x2 + y2 – z2a)–2b)–4c)–8 d)–12Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about If x = – 2 y = – 1 and z = 3 then what is the value of x2 + y2 – z2a)–2b)–4c)–8 d)–12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x = – 2 y = – 1 and z = 3 then what is the value of x2 + y2 – z2a)–2b)–4c)–8 d)–12Correct answer is option 'B'. Can you explain this answer?.
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