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Discriminant

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 is a quadratic polynomial in \(x\) that has two distinct real zeroes?Class 9Exploring Algebraic IdentitiesQuadratic expressionsHard MathematicsWhich condition correctly identifies the quadratic expression \(x^2+bx+c\), with real coefficients, as a perfect-square trinomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsHard MathematicsWhich of the following quadratic expressions cannot be factorised into two linear expressions with integer coefficients?Class 9Exploring Algebraic IdentitiesQuadratic expressionsHard MathematicsIf the quadratic expression \(ax^2+bx+c\), where \(a\ne 0\), is the square of a linear binomial, which of the following statements is always true?Class 9Exploring Algebraic IdentitiesQuadratic expressionsHard MathematicsIf \(a,b,c\) are real numbers and \(a\ne0\), which condition is necessary and sufficient for \(ax^2+bx+c\) to be the square of a linear expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsHard MathematicsWhich of the following quadratic polynomials has two equal zeroes?Class 9Exploring Algebraic IdentitiesQuadratic expressionsHard MathematicsFor a quadratic expression \(ax^2+bx+c\) to have two distinct real zeroes, which statement about its discriminant is correct?Class 9Exploring Algebraic IdentitiesQuadratic expressionsHard MathematicsWhich of the following quadratic polynomials can be written as a product of two linear factors with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationExpert MathematicsWhich of the following quadratic expressions cannot be written as a product of two linear factors with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationExpert MathematicsWhich of the following quadratic trinomials cannot be expressed as a product of two linear factors with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationExpert MathematicsWhich of the following quadratic polynomials has two identical linear factors?Class 9Exploring Algebraic IdentitiesFactorisationExpert MathematicsWhich quadratic trinomial cannot be factorised into two linear binomials with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationHard MathematicsWhich quadratic expression cannot be factorised into two linear factors with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationHard