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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।

MathematicsWhich of the following quadratic expressions has factors that are two linear binomials differing only in sign?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsWhich of the following expressions represents the perfect square of a binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsFor the quadratic expression \(x^2+px+q\), with real coefficients, to be a perfect square of a binomial, which relation between \(p\) and \(q\) is necessary and sufficient?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsWhich of the following quadratic trinomials can be written as the expansion of a perfect-square binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsWhich of the following expressions can be identified as the perfect square of a binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsFor which value of \(k\) will the expression \((k^2-9)x^2+(k-3)x+1\) be a linear expression in \(x\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsA student wrote \((x+4)^2\) as \(x^2+16\). What is the correct expression after fixing the error?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsWhich of the following quadratic trinomials is a perfect square of a binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsWhich of the following quadratic trinomials is a perfect square, that is, it can be written as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsWhich of the following quadratic polynomials has two equal zeroes?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsWhat is a quadratic expression called if its factors are two identical binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsIf \(a>0\) and \(c>0\) in the quadratic expression \(ax^2+bx+c\), which condition is necessary for it to be written as the square of a linear binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsWhich of the following quadratic expressions can be factorised using the identity of difference of squares, \((a^2-b^2)=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsIf \(a,b,c\) are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73HardMathematicsWhich of the following quadratic expressions represents the perfect square of a binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsWhich of the following is a necessary and sufficient condition for the expression \(x^2+bx+c\), with real coefficients, to be a perfect square of a binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsWhich of the following expressions can be factorised as the product of two conjugate binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsIf an expression can be written in the standard form \(ax^2+bx+c\), which condition is necessary for it to be called a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsWhich of the following expressions is a quadratic expression in the variable x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsWhich of the following quadratic expressions has factors that are two binomials with the same coefficient of x and opposite constant terms?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard