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Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA student says that the polynomial \(4-3x+x^2\) is linear because it contains a term in \(x\). What is the correct evaluation of this statement?Class 9Introduction to PolynomialsLinear polynomialsExpert MathematicsA student says that \(5x-2+\frac{3}{x}\) is a linear polynomial because the highest power of \(x\) is 1. What is the student's error?Class 9Introduction to PolynomialsLinear polynomialsHard MathematicsA student says that \(7-2x\) is not a linear polynomial because the coefficient of \(x\) is negative. What is the correct evaluation of the student's statement?Class 9Introduction to PolynomialsLinear polynomialsMedium MathematicsA student says that if two polynomials have degree 6, then the degree of their sum will always be 6. If \(p(x)=x^6-3x^2\) and \(q(x)=-x^6+5x\), which conclusion is correct?Class 9Introduction to PolynomialsDegree of a PolynomialHard MathematicsA student says that the degree of the polynomial \(5-3x^4+2x^6-x^2\) is 4 because the coefficient of \(x^4\) is the greatest. What is the error in the student's statement?Class 9Introduction to PolynomialsDegree of a PolynomialExpert MathematicsKavya wrote the degree of the polynomial \(p(x)=6x^2-4x^7+9x^5-3\) as 5 because she chose the highest power with a positive coefficient. Which statement correctly explains her error?Class 9Introduction to PolynomialsDegree of a PolynomialHard MathematicsA student says that in a square-root spiral, each new radius is obtained by directly adding 1 to the previous radius. What is the correct evaluation of this statement?Class 9Number SystemsSquare root spiralExpert MathematicsA student says that the decimal expansion of \(\frac{13}{375}\) terminates because its denominator has a factor of 5. Which correction to the student's error is correct?Class 9Number SystemsDecimal representationExpert MathematicsA student claims that \(\sqrt{2}+\sqrt{3}\) is a rational number. Which argument correctly identifies the error in the claim?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Expert MathematicsA student says, “Since 1.732 is a terminating decimal, \(\sqrt{3}\) is rational.” Which option correctly identifies the error in this statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Expert MathematicsA calculator displays \(\sqrt{3}\) as 1.7320508. Which conclusion is correct based on this display?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Hard MathematicsA student says, “\(\sqrt{3}=1.732\), so \(\sqrt{3}\) is a rational number.” What is the main error in this statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsRiya says, “ \(\sqrt{3}=1.732\ldots\), so it is irrational because its decimal expansion is non-terminating.” What is the main error in Riya’s reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsA student says that \(2\sqrt{3}\) is rational because 2 is a rational number. What is the error in the student's statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsA student claims that \(\sqrt{3}\) is rational because \(1.7^2=2.89\), which is very close to 3. What is the main error in the student's reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsRiya says that since a calculator displays \(\sqrt{2}\) as 1.414, \(\sqrt{2}\) is a rational number. What is the error in her reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsA student says that \(\sqrt{3}\) is rational because \(1.7^2=2.89\), which is very close to 3. What is the error in the student's reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsA student claims that \(\sqrt{3}=\frac{6}{10}\) because a decimal number close to 3 can be written. What is the error in this claim?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsA student writes that \(\sqrt{3}=1.732\), so \(\sqrt{3}\) is rational. What is the correct correction to this statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsA student says that \(\sqrt{3}\) is rational because its value is approximately 1.73. Which comment about this statement is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy