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Quadratic Expressions

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

MathematicsWrite (7-4x+2x^2) in standard quadratic form.Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWhich 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 72Hard MathematicsWhich of the following expressions can be factorised as the product of two conjugate binomials?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWhat are the factors of (5x^2+13x+6)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsIf 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 72Hard MathematicsWhich of the following expressions is a quadratic expression in the variable x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWhich 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 MathematicsIf (a-b=5) and (ab=6), what is (a^2+b^2)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWhich of the following is a quadratic expression in \(x\) and \(y\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWhich statement correctly describes the expression \(x^2-25\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWrite (x^2+6x+11) in completed square form.Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard 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 expressionsLevel 72Hard MathematicsWhich (k) makes (x^2+kx+81) a perfect square and (k) is negative?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsThe factorised form of (2x^2+mx+10) is ((2x+5)(x+2)). What is (m)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsThe factors of (x^2-bx+18) are ((x-3)(x-6)). What is (b)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWhen the quadratic expression y^2 - 7y + 12 = (y-p)(y-q) is factorised, which statement about p and q is correct?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsFactorise (x^2-6x+9-z^2).Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWhat is the complete factorised form of (x^2+4x+4-y^2)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWhich of the following quadratic trinomials is the expansion of a perfect square?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsChoose the correct factorised form of (6p^2+5pq-q^2).Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard