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Real Numbers

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

MathematicsIf a is any real number, which of the following expressions will always remain a quadratic expression in x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsHard MathematicsFor real numbers \(a\) and \(b\), which of the following expressions is always non-negative?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesExpert MathematicsFor real numbers \(p\) and \(q\), which of the following expressions can never be negative?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesHard MathematicsIf \(p(x)=ax+b\), where \(a\neq 0\) and \(a,b\) are real numbers, is a linear polynomial, which statement about its zeroes is correct?Class 9Introduction to PolynomialsLinear polynomialsExpert MathematicsWhich of the following expressions is a linear polynomial in x for every real value of p?Class 9Introduction to PolynomialsLinear polynomialsHard MathematicsWhich statement about whole numbers between \(\sqrt{18}\) and \(\sqrt{19}\) is correct?Class 9Number SystemsReal NumbersExpert MathematicsWhich statement is correct about comparing \(\sqrt{80}\) and (9)?Class 9Number SystemsReal NumbersExpert MathematicsWhat is obtained after rationalising the denominator of \(\frac{1}{\sqrt{7}+\sqrt{5}}\)?Class 9Number SystemsReal NumbersExpert MathematicsWhich statement about whole numbers between \(\sqrt{11}\) and \(\sqrt{15}\) is correct?Class 9Number SystemsReal NumbersExpert MathematicsWhich of the following numbers is irrational, yet can be represented by a unique point on the number line?Class 9Number SystemsNumber lineExpert MathematicsIf \(\sqrt{x}\) is irrational and (5) is rational, what type of number will \(5\sqrt{x}\) generally be when (5\ne0)?Class 9Number SystemsIrrational numbersExpert MathematicsWhat type of number is the decimal \(0.101001000100001\ldots\)?Class 9Number SystemsIrrational numbersExpert MathematicsWhich statement about real numbers is correct?Class 9Number SystemsGeneral chapter practiceExpert MathematicsWhat is the simplest form of \((\sqrt{5}+\sqrt{20})\)?Class 9Number SystemsReal NumbersExpert MathematicsWhich option is correct about \(\sqrt{3}\)?Class 9Number SystemsIrrational numbersExpert MathematicsWhat type of number is the product of \(\sqrt{2}\) and \(\sqrt{8}\)?Class 9Number SystemsRational numbersExpert MathematicsWhich of the following decimal expansions indicates an irrational number?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsA student claims that the sum of any two irrational numbers is always irrational. Which of the following examples disproves this claim?Class 9Number SystemsIrrational numbersExpert MathematicsReena concludes, “If the square of a real number is rational, then the number itself must be rational.” Which of the following examples disproves her conclusion?Class 9Number SystemsIrrational numbersExpert MathematicsWhich of the following decimal expansions identifies a real number as irrational?Class 9Number SystemsIrrational numbersExpert