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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 expressionsLevel 73Hard MathematicsFor real numbers \(a\) and \(b\), which of the following expressions is always non-negative?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 62Expert MathematicsFor real numbers \(p\) and \(q\), which of the following expressions can never be negative?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard 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 polynomialsLevel 34Expert MathematicsWhich of the following expressions is a linear polynomial in x for every real value of p?Class 9Introduction to PolynomialsLinear polynomialsLevel 33Hard MathematicsWhich statement about whole numbers between \(\sqrt{18}\) and \(\sqrt{19}\) is correct?Class 9Number SystemsReal NumbersLevel 19Expert MathematicsWhich statement is correct about comparing \(\sqrt{80}\) and (9)?Class 9Number SystemsReal NumbersLevel 19Expert MathematicsWhat is obtained after rationalising the denominator of \(\frac{1}{\sqrt{7}+\sqrt{5}}\)?Class 9Number SystemsReal NumbersLevel 19Expert MathematicsWhich statement about whole numbers between \(\sqrt{11}\) and \(\sqrt{15}\) is correct?Class 9Number SystemsReal NumbersLevel 19Expert MathematicsWhich of the following numbers is irrational, yet can be represented by a unique point on the number line?Class 9Number SystemsNumber lineLevel 19Expert 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 numbersLevel 19Expert MathematicsWhat type of number is the decimal \(0.101001000100001\ldots\)?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhich statement about real numbers is correct?Class 9Number SystemsGeneral chapter practiceLevel 19Expert MathematicsWhich option is correct about \(\sqrt{3}\)?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhat type of number is the product of \(\sqrt{2}\) and \(\sqrt{8}\)?Class 9Number SystemsRational numbersLevel 19Expert MathematicsWhich of the following decimal expansions indicates an irrational number?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium 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 numbersLevel 15Expert 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 numbersLevel 15Expert MathematicsWhich of the following decimal expansions identifies a real number as irrational?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsLet \(x\) be an irrational number and \(r\) be a rational number. Which of the following expressions is always irrational?Class 9Number SystemsIrrational numbersLevel 13Expert