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Quadratic Expressions

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

MathematicsWhich condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following quadratic expressions can be identified in the identity form \(a^2-b^2\), the difference of two squares?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following quadratic expressions can be factorised using the identity for the difference of squares?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich is the factorisation of (25x^2-1)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following quadratic expressions can be written as the difference of the squares of two monomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following quadratic expressions can be written as a product of two linear factors using the identity for the difference of squares?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich condition is necessary for \(ax^2+bx+c\) to be called a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsIn the general form \(ax^2+bx+c\) of a quadratic expression, which condition on \(a\) is necessary for it to remain quadratic?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following expressions can be written as a perfect-square trinomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsThe length of a rectangular garden is \(x+4\) m and its breadth is \(x-2\) m. Which quadratic expression represents its area?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsIf the coefficients of a quadratic expression are 1, 6 and 9 respectively, what type of expression is it?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsIf \(a, b, c\) are real numbers, which condition is necessary for \(ax^2+bx+c\) to be a quadratic polynomial in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsIn the expression \(ax^2+bx+c\), where \(a,b,c\) are real numbers, which condition is necessary for it to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsA student wrote \((x+5)^2\) as \(x^2+25\). Which term has been omitted from the expansion?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsIf \(a, b, c\) are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following quadratic expressions can be written as a product of two linear factors using the identity \(a^2-b^2=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich condition is necessary for the expression \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsIf the constant term of a quadratic expression is 0, which statement about the expression is correct?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following quadratic expressions can be factorised using the identity \,\((a^2-b^2)=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following quadratic expressions can be written as the product of two conjugate binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium