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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 quadratic trinomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Hard MathematicsWhich condition correctly identifies the quadratic expression \(x^2+bx+c\), with real coefficients, as a perfect-square trinomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Hard MathematicsIf x = 2, what is the value of x^2 + 5x - 6?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Medium MathematicsWhat is the correct expansion of \((2x-3)^2\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Hard MathematicsWhich of the following is a quadratic expression in x even though it has no constant term?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 74Hard Mathematics(25x^2+mx+36) is a perfect square and (m) is positive. What will be the value of (m)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsWhat is the correct factorised form of (x^2-12x+32)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsWhich statement is always true about a quadratic polynomial \(ax^2+bx+c\), where \(a\ne0\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsWhich of the following quadratic expressions has conjugate linear binomial factors?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsA student claims that \(x^2-10x+25\) factorises as \((x-5)(x+5)\). What is the error in the student's claim?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWrite (x^2-12x+20) in completed square form.Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard MathematicsWhich of the following quadratic expressions cannot be factorised into two linear expressions with integer coefficients?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72Hard Mathematics(x^2+mx+49) is a perfect square and (m) is positive. What will be the value of (m)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsIn which form can (16x^2+40x+25) be written?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsWhat is the perfect square form of (x^2-18x+81)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsWhich of the following quadratic expressions remains positive for every real value of x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsWhich of the following expressions represents a quadratic polynomial in x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsIf \(a,b,c\) are constants, which condition is necessary for \(p(x)=ax^2+bx+c\) to be called a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsIf the quadratic expression \(x^2+px+16\) is a perfect square of a binomial, which statement about the possible values of \(p\) is correct?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard MathematicsWhich statement correctly gives the factors of the expression \(p^2-q^2\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73Hard