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Mathematics

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

MathematicsAssertion: The graph of x² + 2x + 5 = 0 does not cut the x-axis. Reason: Its discriminant D = −16. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhich root nature is correct for 2x² − 5√2x + 12 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which value of p will px²+6x+3=0 have equal roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the sign of D for the quadratic equation 5x²−2x+3=0?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsFind the nature of the roots of the quadratic equation 2x²+3x+5=0.Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsAssertion: x²−6x+11=0 has real and irrational roots. Reason: Its D=-8. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhich of the following equations has two real, rational and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf a quadratic equation has D=-12, which statement is correct regarding its graph?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf D>0 and D is not a perfect square, what is the nature of the roots of the quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat will λ be for real and equal roots of (λ+1)x² − 2(λ−2)x + (λ+1) = 0?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat is the nature of the roots of x² − (2r+5)x + (r²+5r+4) = 0?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 MathematicsFor which value of k will (k+3)x² + 2kx + (k−1) = 0 have equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard 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 MathematicsWhat is the nature of the roots of x² − 7x + 11 = 0?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIdentify the nature of the roots of x² − 5x + 5 = 0.Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of x² − 9x + 20 = 0?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsFor which interval of a will x² + 2(a − 2)x + 2a + 5 = 0 have no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the correct condition on λ for real roots of x² + 2(λ−1)x + λ² + 1 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the nature of the roots of 2x² + 3x − 5 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Easy