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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।

MathematicsIf a quadratic trinomial is of the form \(x^2+2ax+a^2\), which algebraic expression is it equal to?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhy is the expression \(5x^2-3x+7\) called a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsRiya says that \(x^2+10x+16\) can be written as \((x+5)^2\). Which is the correct form of \(x^2+10x+16\) to identify the error in Riya’s statement?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhat will be the constant term in ((4x-3)^2)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsIf the first and last terms of a trinomial are squares of two terms and the middle term is negative twice the product of their square roots, how is the trinomial factorised?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhat is the product of ((3x-2)(x+5))?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhat is the expanded form of ((2x+1)(x-4))?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich expression is not quadratic in (x)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich of the following expressions is a quadratic expression in the variable \(y\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsHow will (x^2+2x+5) be written as a square plus a constant?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsIf a, b and c are constants, under which condition is the expression \(ax^2+bx+c\) a quadratic expression in x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsIf the factors of a quadratic expression are two identical linear factors, what is the position of its graph with respect to the x-axis?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich of the following expressions can be factorised as a difference of squares of two binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich of the following quadratic expressions is the product of two identical linear factors?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich of the following expressions is a difference of squares of two binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsA student writes \((2x-5)^2\) as \(4x^2-25\). Which term has been omitted from the expansion?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich condition on \(a\) is necessary for the expression \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich of the following is a quadratic expression in x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsIf \(a,b,c\) are real numbers, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsThe length of a rectangle is 0x+5 0 cm and its breadth is 0x-2 0 cm. A student writes its area as 0x^2+3 0 sq cm. Which statement about the student's error is correct?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75Medium