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The equation x - y + 1= 0 is satisfied by x = α2 and y = α then α =
- a)Can’t be determined
- b)2
- c)-1
- d)-2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The equation x - y + 1= 0 is satisfied by x = α2 and y = α...
(α2, a) is a solution of the equation
x - y + 1 = 0
⇒ α2 - a + 1 = 0
⇒ The above equation has negative discriminant.
∴ value of a cannot be determined
x - y + 1 = 0
⇒ α2 - a + 1 = 0
⇒ The above equation has negative discriminant.
∴ value of a cannot be determined
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Community Answer
The equation x - y + 1= 0 is satisfied by x = α2 and y = α...
Understanding the Equation
The equation given is x - y + 1 = 0. We need to determine the value of α when x = α² and y = α.
Substituting the Values
1. Substitute x and y in the equation:
- Replace x with α² and y with α.
- The equation becomes: α² - α + 1 = 0.
Analyzing the Quadratic Equation
2. Now, we need to analyze the quadratic equation α² - α + 1 = 0.
- The general form of a quadratic equation is ax² + bx + c = 0.
- Here, a = 1, b = -1, and c = 1.
Finding the Discriminant
3. To determine if there are real solutions for α, we calculate the discriminant (D):
- D = b² - 4ac
- D = (-1)² - 4(1)(1) = 1 - 4 = -3.
Conclusion on the Solutions
4. Since the discriminant is negative (D < 0),="" the="" equation="" α²="" -="" α="" +="" 1="0" has="" no="" real="" solutions.="" -="" this="" means="" α="" cannot="" take="" any="" real="" values.="" />Final Answer
5. Therefore, the value of α cannot be determined from the information given, leading us to conclude:
- The correct answer is option 'A': Can't be determined.
The equation given is x - y + 1 = 0. We need to determine the value of α when x = α² and y = α.
Substituting the Values
1. Substitute x and y in the equation:
- Replace x with α² and y with α.
- The equation becomes: α² - α + 1 = 0.
Analyzing the Quadratic Equation
2. Now, we need to analyze the quadratic equation α² - α + 1 = 0.
- The general form of a quadratic equation is ax² + bx + c = 0.
- Here, a = 1, b = -1, and c = 1.
Finding the Discriminant
3. To determine if there are real solutions for α, we calculate the discriminant (D):
- D = b² - 4ac
- D = (-1)² - 4(1)(1) = 1 - 4 = -3.
Conclusion on the Solutions
4. Since the discriminant is negative (D < 0),="" the="" equation="" α²="" -="" α="" +="" 1="0" has="" no="" real="" solutions.="" -="" this="" means="" α="" cannot="" take="" any="" real="" values.="" />Final Answer
5. Therefore, the value of α cannot be determined from the information given, leading us to conclude:
- The correct answer is option 'A': Can't be determined.
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The equation x - y + 1= 0 is satisfied by x = α2 and y = α then α =a)Can’t be determinedb)2c)-1d)-2Correct answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The equation x - y + 1= 0 is satisfied by x = α2 and y = α then α =a)Can’t be determinedb)2c)-1d)-2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation x - y + 1= 0 is satisfied by x = α2 and y = α then α =a)Can’t be determinedb)2c)-1d)-2Correct answer is option 'A'. Can you explain this answer?.
The equation x - y + 1= 0 is satisfied by x = α2 and y = α then α =a)Can’t be determinedb)2c)-1d)-2Correct answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The equation x - y + 1= 0 is satisfied by x = α2 and y = α then α =a)Can’t be determinedb)2c)-1d)-2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation x - y + 1= 0 is satisfied by x = α2 and y = α then α =a)Can’t be determinedb)2c)-1d)-2Correct answer is option 'A'. Can you explain this answer?.
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