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No Real Roots

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

MathematicsIf \(v\) is any real number, which statement correctly describes the nature of the roots of \(2x^2-4vx+2v^2+5=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat condition on \(a\) is required for the equation \(x^2+2(a+3)x+a^2+10a+17=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat is the nature of the roots of the equation \(4x^2-12x+11=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsChoose the correct statement about the nature of the roots of \\(x^2+8x+18=0\\).Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsAn area-based problem leads to the equation \(s^2-6s+10=0\). What is the correct conclusion about the real values of \(s\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of \\(2x^2+x+2=0\\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the correct conclusion about the nature of the roots of the quadratic equation \(8x^2-4x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf a parabola remains above the x-axis and does not intersect it, which statement is correct for the related quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor the quadratic equation \(x^2+(k-3)x+4=0\) to have no real roots, what is the interval of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat condition on \(k\) is necessary for the equation \(x^2+4x+k=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the quadratic equation \(x^2+6x+13=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsChoose the correct option regarding the nature of the roots of the quadratic equation \(5x^2-6x+2=0\).Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor the equation \(x^2-2mx+3m=0\) to have no real roots, which is the correct interval for \(m\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the nature of the roots of the equation \\(x^2+2(a+1)x+a^2+2a+5=0\\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf \(a\) is a real number, which statement correctly describes the nature of the roots of the equation \(3x^2-6ax+(3a^2+2)=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhich statement correctly describes the nature of the roots of \(x^2+2px+p^2+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf p is a real number, which statement correctly describes the nature of the roots of the equation x² + 2x + (p² + 2) = 0?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat condition on \(m\) is required for the equation \(x^2+2(m-1)x+(m+5)=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the nature of the roots of the equation \(x^2+5x+7=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsFor the quadratic equation \(2x^2+(k-4)x+8=0\) to have no real roots, which condition on \(k\) is correct?Class 10Quadratic EquationsNature of RootsLevel 37Medium