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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।

MathematicsWhich of the following expressions is a perfect-square trinomial for every real value of x?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 63Expert MathematicsIf, for real constants p and q, the expression \(x^2+px+q\) can be written as the perfect square of a binomial involving \(x\) and a constant, which relation between \(p\) and \(q\) is necessary?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 63Expert MathematicsWhich of the following trinomials is a perfect square trinomial?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 62Expert MathematicsIf (x+y=13) and (xy=40), what is the value of (x^2+y^2)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 65Hard MathematicsWhich of the following trinomials can be written as the perfect square of a binomial?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard Mathematics( 9x^2-30x+25 ) is the perfect square of what?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsIf the expression \(x^2+px+q\) can be written as \((x+r)^2\) for some real number \(r\), which relation between \(p\) and \(q\) is necessary and sufficient?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 63Hard MathematicsWhat is the coefficient of (y^2) in ( (x+3y)^2 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Medium MathematicsIf (x+y=9) and (xy=14), what is (x^2+y^2)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Medium MathematicsWhat is the simplified form of ( (2p+3q)^2+(2p-3q)^2 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Medium MathematicsWhich can be written as the simplified factor form of ( 2x^2+12x+18 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 63Medium MathematicsWhat is the correct expansion of ( (2x+3)^2 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 63Medium MathematicsWhich is the correct expansion of ( (2x+1)^2 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 66Easy MathematicsWhich of the following expressions can be written as the perfect square of a binomial?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 65Easy MathematicsWhich explicit rule is correct for the sequence (8,20,42,80,\ldots)?Class 9Sequences and ProgressionsExplicit or general ruleLevel 49Expert MathematicsWhich expression represents subtracting 2xy from the sum of the squares of x and y?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 23Easy MathematicsWhich option gives the correct simplified form of (2a^2-3ab+4b^2-a^2+5ab-b^2)?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 23Hard MathematicsIn which expression is the coefficient of (x) equal to (0) but the (x^2) term is present?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 23Hard