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Algebraic Identities

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

MathematicsA student wrote \((x+5)^2\) as \(x^2+25\). What is the error in this expansion?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhat type of polynomial has the highest power of the variable x equal to 2?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich condition is necessary for the polynomial \(ax^2+bx+c\) to be a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhy is \(a\neq0\) necessary in \(ax^2+bx+c\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsRiya expanded \((2x+1)^2\) as \(4x^2+1\). Which term is missing from her expansion?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich of the following polynomials is a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsA rectangle has length \(x+5\) m and width \(x-2\) m. Which quadratic expression represents its area?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich 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 73Medium MathematicsWhich of the following quadratic expressions can be factorised using the identity for the difference of squares?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich is the factorisation of (25x^2-1)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich of the following quadratic expressions can be written as the difference of the squares of two monomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich 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 73Medium MathematicsWhich condition is necessary for \(ax^2+bx+c\) to be called a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsIn 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 73Medium MathematicsWhich of the following expressions can be written as a perfect-square trinomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsThe 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 73Medium MathematicsIf the coefficients of a quadratic expression are 1, 6 and 9 respectively, what type of expression is it?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsIf \(a, b, c\) are real numbers, which condition is necessary for \(ax^2+bx+c\) to be a quadratic polynomial in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsIn 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 73Medium