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Real Roots

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

MathematicsWhich condition is correct for real roots of (x^2+2(k+1)x+k+5=0)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhich condition is correct for real roots in (2x^2+(2k+1)x+5=0)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhich condition on \\(k\\) is necessary for the equation \\(5x^2+2kx+2=0\\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the roots of the quadratic equation \(3x^2-4x+p=0\) are real, which condition on \(p\) is correct?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \(3x^2-2x-2=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsFor the quadratic equation \(x^2-2kx+9=0\) to have real roots, which of the following conditions on \(k\) is required?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf a is a real number and \(x^2-2(a+4)x+a^2+8a+20=0\), how many real roots does the equation have?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsA student assumes that a quadratic equation has two real roots when its discriminant is D = -4. What is the correct conclusion?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat condition on \(a\) is necessary for the equation \(3x^2-2(2a+1)x+(a^2+a+1)=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the equation \(x^2+2gx+g^2-6g+11=0\) has real roots, what condition must \(g\) satisfy?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsAssume that \(a\) and \(b\) are real numbers. Which statement about the roots of the equation \(x^2+2(a-b)x+(a+b)^2=0\) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat is the correct statement about the real roots of x² + 2(2y−1)x + 4y² + 3 = 0?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat condition on \(c\) is necessary for the quadratic equation \(x^2-2(c+1)x+c^2-2c+5=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf (x^2+2px+2p+9=0) has real roots, which condition on (p) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhich condition on \(k\) is necessary and sufficient for the equation \(x^2+2(k-1)x+k+2=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhich condition is correct for real roots in (3x^2+(2k-1)x+1=0)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \(x^2-3x-1=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the discriminant of \\(x^2+9x+14=0\\), and what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \(6x^2+7x-3=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhich of the following quadratic equations has two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium