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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 \(x^2+25\). Which term has been omitted from the expansion?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsIf \(a, b, c\) are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich 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 73Medium MathematicsWhich condition is necessary for the expression \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsIf the constant term of a quadratic expression is 0, which statement about the expression is correct?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich of the following quadratic expressions can be factorised using the identity \,\((a^2-b^2)=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsIf \(x-5\) is a factor of a polynomial, which statement about \(x=5\) is correct?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich of the following quadratic expressions can be written as the product of two conjugate binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich of the following quadratic expressions can be factorised as a difference of two squares?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsA student expanded \((x+5)(x-2)\) as \(x^2+3x-10\). What is the correct evaluation of the student's answer?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsIf a quadratic expression is of the form \(ax^2+bx+c\), which condition on \(a\) is necessary for it to be quadratic?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsUnder which condition is \(ax^2+bx+c\), where \(a,b,c\) are real numbers, called a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhere a, b, and c are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in one variable?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich of the following expressions can be written as a difference of squares of two binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich is the expansion of ((x+3)(x+2))?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsUnder which condition can the quadratic trinomial \(x^2+px+q\) be classified as a perfect-square trinomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsThe length of a rectangular garden is \(x+5\) metres and its breadth is \(x+3\) metres. Which quadratic expression represents its area?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich of the following quadratic expressions can be factorised using the identity for the difference of two squares?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsWhich of the following expressions represents the square of the difference of two terms?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium MathematicsIf a quadratic expression has the general form \(ax^2+bx+c\), which condition on \(a\) is necessary for it to be quadratic?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Medium