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Q10. Consider the given equation. For the equation to be quadratic, which of these cannot be the value of k? kx²+ 2x =c(2x²+b)?
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Q10. Consider the given equation. For the equation to be quadratic, wh...
Explanation:
Given equation:
kx² + 2x = c(2x² + b)
Condition for the equation to be quadratic:
A quadratic equation must have the highest power of the variable as 2. Therefore, for the given equation to be quadratic, the coefficient of x² must not be zero.
Analysis of the given equation:
- The coefficient of x² on the left side of the equation is k.
- The coefficient of x² on the right side of the equation is 2c.
- For the equation to be quadratic, k must be equal to 2c.
Explanation of why k cannot be certain values:
- If k is not equal to 2c, then the equation will not be quadratic as the coefficient of x² will be zero or non-constant.
- For example, if k is less than 2c, then the coefficient of x² will be negative, which is not possible in a quadratic equation.
- Similarly, if k is greater than 2c, then the coefficient of x² will be a non-constant value, which again does not satisfy the condition of a quadratic equation.
Conclusion:
- In conclusion, the value of k cannot be any value that does not satisfy the condition k = 2c for the given equation to be quadratic.
Given equation:
kx² + 2x = c(2x² + b)
Condition for the equation to be quadratic:
A quadratic equation must have the highest power of the variable as 2. Therefore, for the given equation to be quadratic, the coefficient of x² must not be zero.
Analysis of the given equation:
- The coefficient of x² on the left side of the equation is k.
- The coefficient of x² on the right side of the equation is 2c.
- For the equation to be quadratic, k must be equal to 2c.
Explanation of why k cannot be certain values:
- If k is not equal to 2c, then the equation will not be quadratic as the coefficient of x² will be zero or non-constant.
- For example, if k is less than 2c, then the coefficient of x² will be negative, which is not possible in a quadratic equation.
- Similarly, if k is greater than 2c, then the coefficient of x² will be a non-constant value, which again does not satisfy the condition of a quadratic equation.
Conclusion:
- In conclusion, the value of k cannot be any value that does not satisfy the condition k = 2c for the given equation to be quadratic.
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Q10. Consider the given equation. For the equation to be quadratic, which of these cannot be the value of k? kx²+ 2x =c(2x²+b)?
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Q10. Consider the given equation. For the equation to be quadratic, which of these cannot be the value of k? kx²+ 2x =c(2x²+b)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Q10. Consider the given equation. For the equation to be quadratic, which of these cannot be the value of k? kx²+ 2x =c(2x²+b)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q10. Consider the given equation. For the equation to be quadratic, which of these cannot be the value of k? kx²+ 2x =c(2x²+b)?.
Q10. Consider the given equation. For the equation to be quadratic, which of these cannot be the value of k? kx²+ 2x =c(2x²+b)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Q10. Consider the given equation. For the equation to be quadratic, which of these cannot be the value of k? kx²+ 2x =c(2x²+b)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q10. Consider the given equation. For the equation to be quadratic, which of these cannot be the value of k? kx²+ 2x =c(2x²+b)?.
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