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Class 9 Mathematics

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 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 72HardMathematicsWhich of the following is a quadratic expression in \(x\) and \(y\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsWhich statement correctly describes the expression \(x^2-25\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsFor 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 72HardMathematicsWhen 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 72HardMathematicsWhich of the following quadratic trinomials is the expansion of a perfect square?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsWhich of the following quadratic expressions is a perfect square of a binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsWhich of the following expressions can be identified as a perfect square of a binomial?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsIn which quadratic expression is the constant term equal to the sum of the coefficients of its other two terms?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsWhich of the following expressions remains a quadratic expression in x after simplification?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsUnder which condition is the expression \(ax^2+bx+c\) called a quadratic expression in \(x\), where \(a,b,c\) are constants?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 72HardMathematicsIf the highest power of the variable in a quadratic expression is 2, what is the general shape of its graph?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich of the following expressions is a quadratic polynomial in x with zero constant term?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich condition is necessary for the expression \(ax^2+bx+c\) to be called a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsThe length of a rectangle is \(x+5\) cm and its breadth is \(x-2\) cm. Which quadratic expression is obtained on simplifying its area?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75MediumMathematicsWhich of the following expressions can be factorised as \((m-n)(m+n)\)?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 75Medium