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Nature Of Roots

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

MathematicsIf the roots of the quadratic equation \(3x^2-2kx+27=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsWhat is the nature of roots of (8x^2-8x+3=0)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsIf (x^2-3x+h=0) has equal roots, what is the value of (h)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsWhat will be the nature of roots of (2x^2+5x-12=0)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsStatement: When (D>0), the roots of a quadratic equation are always equal. How is this statement?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsStatement: If (b^2-4ac<0), then (ax^2+bx+c=0) has no real roots. How is this statement?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsHow many times will the graph of (x^2-5x+4=0) cut the (x)-axis?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsHow many times will the graph of (x^2-6x+9=0) touch the (x)-axis?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsHow many times will the graph of (x^2+4x+8=0) cut the (x)-axis?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsIf (D=-5), which statement about the roots of a quadratic equation is correct?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsFor which (s) will (s x^2+2sx+1=0) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsIf (2x^2-4x+n=0) has real and distinct roots, which condition is correct for (n)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsWhich conclusion is correct for (10x^2-3x+2=0)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsState the nature of roots of (5x^2+20x+20=0).Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsIf (x^2+2x+\lambda=0) has no real roots, what is the correct condition for (\lambda)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsFor which (r) will (rx^2-5x+r=0) have two distinct real roots?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsIf the two roots of the equation \(x^2-2(m+1)x+16=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsWhat will be the nature of roots of (x^2+2\sqrt{2}x+1=0)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsWhat is the nature of roots of (x^2+2\sqrt{3}x+3=0)?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsIf (4x^2+4kx+k=0) has equal roots, what will be the values of (k)?Class 10Quadratic EquationsNature of RootsLevel 39Hard

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