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Class 9 Mathematics

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

MathematicsIf \(x\) is an irrational number, which of the following expressions will be irrational in every case?Class 9Number SystemsIrrational numbersExpert MathematicsLet \(x\) be an irrational number and \(r\) be a non-zero rational number. Which of the following expressions must be irrational?Class 9Number SystemsIrrational numbersExpert MathematicsLet \(x\) be an irrational number and \(r\) be a rational number. Which of the following expressions will always be irrational?Class 9Number SystemsIrrational numbersExpert MathematicsWhich of the following statements correctly identifies the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersExpert MathematicsReema writes the number \(0.101001000100001\ldots\), in which the number of zeros between successive 1s keeps increasing. Which conclusion about this number is correct?Class 9Number SystemsIrrational numbersExpert MathematicsWhich of the following numbers, based on its decimal expansion, is irrational?Class 9Number SystemsIrrational numbersExpert MathematicsWhat is the simplified form of \(\sqrt{200}-\sqrt{72}+\sqrt{18}\)?Class 9Number SystemsIrrational numbersExpert MathematicsA student says that \(\sqrt{12}-\sqrt{3}\) is the difference of two square roots, so it is a rational number. Which is the correct correction of the student's error?Class 9Number SystemsIrrational numbersHard MathematicsLet \(x\) be a non-zero irrational number, and let \(a\) and \(b\) be rational numbers, where \(b\ne0\). Which of the following expressions is always irrational?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that the sum of any two irrational numbers is always irrational. Which of the following examples proves the claim wrong?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following expressions is a counterexample to the claim?Class 9Number SystemsIrrational numbersHard MathematicsWhich of the following statements correctly describes the relationship between rational and irrational numbers?Class 9Number SystemsIrrational numbersHard MathematicsWhich condition on two irrational numbers guarantees that their sum is rational?Class 9Number SystemsIrrational numbersHard MathematicsIf \(x\) is an irrational number and \(r\ne 0\) is a rational number, which of the following statements is always true?Class 9Number SystemsIrrational numbersHard MathematicsIf \(a\) is an irrational number and \(b\) is a non-zero rational number, which statement about \(a+b\) is always true?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that \(5-\sqrt{7}\) is a rational number. Which argument correctly proves that the claim is wrong?Class 9Number SystemsIrrational numbersHard MathematicsWhich of the following statements is always true about the sum of two irrational numbers?Class 9Number SystemsIrrational numbersHard MathematicsIn which option are both numbers irrational, but their sum is rational?Class 9Number SystemsIrrational numbersHard MathematicsReema claims that the product of two irrational numbers is always irrational. Which of the following examples disproves her claim?Class 9Number SystemsIrrational numbersHard MathematicsFor a positive integer \(n\), which criterion correctly determines that \(\sqrt{n}\) is irrational?Class 9Number SystemsIrrational numbersHard