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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 \(P(x)=\sqrt{2}x-5\) is not a polynomial because its coefficient is not an integer. Which is the correct response to the student?Class 9Introduction to PolynomialsLinear polynomialsHard MathematicsA student says that the degree of the polynomial \(7-3x^4+x^2\) is 2 because \(x^2\) is the last term. What is the error in the student's statement?Class 9Introduction to PolynomialsDegree of a PolynomialMedium MathematicsA student says that the degree of the polynomial \(7-4x^5+3x^2\) is 2 because the last term has exponent 2. What is the error in the student's statement?Class 9Introduction to PolynomialsDegree of a PolynomialMedium MathematicsA student says that the degree of \(6y^3-y+9\) is 1 because the exponent of \(y\) is 1. Which statement correctly fixes the student's error?Class 9Introduction to PolynomialsDegree of a PolynomialHard MathematicsA student claims that \(\sqrt{3}\) is rational because its decimal form is 1.732 and \(1.732=\frac{1732}{1000}\). What is the error in the student’s reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Expert MathematicsA student says that \(\sqrt{3}\) is irrational because its decimal expansion \(1.732\ldots\) continues endlessly. What is the main error in this argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Expert MathematicsRavi says that \(\sqrt{2}\) is irrational because its decimal expansion is infinite. What is the flaw in his argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsAman called the decimal 0.101001000100001... a rational number because it contains only the digits 0 and 1. What is the error in Aman’s conclusion?Class 9Number SystemsIrrational numbersMedium MathematicsReema says that \(0.333...\) is irrational because its decimal expansion is infinite. Which statement correctly explains Reema’s error?Class 9Number SystemsIrrational numbersEasy MathematicsA student says that \(0.125000\ldots\) is irrational because it has infinitely many zeros. Which is the correct correction to the statement?Class 9Number SystemsDecimal representationEasy MathematicsA student says, “A number with an infinite decimal expansion is always irrational.” Which of the following examples proves that the student's statement is incorrect?Class 9Number SystemsReal NumbersMedium