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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।

MathematicsWhat is the value of the equal root of the equation \(9x^2-6x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf \(a\) is a real number and \(x^2-2(a+4)x+(a^2+8a+16)=0\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf the discriminant of a quadratic equation is \(D=-(b+3)^2\), when will its roots be real and equal?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf \(w\) is a real number, what is the nature of the roots of the equation \(4x^2-4wx+w^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf \(p\) is a real constant, what is the nature of the roots of the equation \(x^2-2px+p^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 37HardMathematicsWhat is the nature of the roots of the equation 9x² + 12x + 4 = 0?Class 10Quadratic EquationsNature of RootsLevel 37MediumMathematicsWhich statement correctly describes the nature of the roots of \(x^2+12x+36=0\)?Class 10Quadratic EquationsNature of RootsLevel 37EasyMathematicsWhat is the nature of the roots of the quadratic equation \(4x^2-12x+9=0\)?Class 10Quadratic EquationsNature of RootsLevel 37EasyMathematicsIn which form can (x^2-2\sqrt{17}x+17=0) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36ExpertMathematicsIn which form can (x^2+2\sqrt{13}x+13=0) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35ExpertMathematicsIn which form can (x^2-2\sqrt{11}x+11=0) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34ExpertMathematicsIn which form can (x^2+2\sqrt{7}x+7=0) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36HardMathematicsWhat is the root of x² − 2√5x + 5 = 0?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35MediumMathematicsIn which form can (x^2-2\sqrt{5}x+5=0) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35HardMathematicsIn which form can (x^2+2\sqrt{3}x+3=0) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34HardMathematicsWhat is the root of (49x^2-42x+9=0)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36MediumMathematicsIn which of the following perfect-square forms can the equation \(49x^2-42x+9=0\) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36MediumMathematicsWhat is the repeated root of (36x^2-60x+25=0)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36MediumMathematicsWhat is the root of (25x^2-20x+4=0)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35MediumMathematicsIn which of the following perfect-square forms can the equation \(25x^2-20x+4=0\) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Medium