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Perfect Square

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(x^2+24x+c=0\) is a perfect-square quadratic, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf k is a real number, what is the nature of the roots of the equation 25x² + 40kx + 16k² = 0?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the quadratic equation \(x^2-18x+c=0\) can be written as a perfect square, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the nature of the roots of the quadratic equation \(16x^2-24kx+9k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf \(k\) is a real constant, what is the nature of the roots of the equation \(9x^2+12kx+4k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhich of the following quadratic equations will have two equal and negative roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf \(x^2-14x+c=0\) is a perfect-square quadratic equation, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf \(k\) is a real constant, what is the nature of the roots of the equation \(4x^2-4kx+k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich of the following quadratic equations has two equal and positive roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the equation \(x^2+6x+c=0\) is a perfect-square quadratic equation, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich of the following is the perfect-square form of the equation \(x^2-18x+81=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsIn which perfect square form can the equation \(x^2+12x+36=0\) be written?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsThe equation \(x^2-4x+4=0\) can be written in which perfect-square form?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Medium MathematicsWhich equation in the standard form ax^2+bx+c=0 is obtained when (x+3)^2 = 25 is written in standard form?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Easy MathematicsWhich of the following equations is equivalent to \(x^2-6x+9=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Easy MathematicsWhich of the following expresses \(x^2+10x+25=0\) in factorised (product) form?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Easy MathematicsWhat equation do we obtain when we substitute \(x=4\) into \(x^2-8x+16=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Easy MathematicsWhich of the following equations is equivalent to \(x^2+2x+1=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Easy MathematicsWhich of the following expresses the equation \(x^2+6x+9=0\) in factorised form?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Easy MathematicsWhat do we get when we substitute \(x=2\) into the equation \(x^2-4x+4=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Easy