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Class 10 Mcq

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

MathematicsWhat is the positive difference between the two roots of \\(x^2-2kx+k^2-25=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf (\alpha,\beta) are roots of (x^2-5x+6=0), which equation has roots (\alpha+\beta) and (\alpha\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf the two roots of the equation \(x^2-(u+v+2)x+(u+1)(v+1)=0\) are equal, which of the following statements is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf (x^2+bx+49=0) has equal and negative roots, what is the value of (b)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf (\alpha,\beta) are roots of (x^2-5x+c=0) and (\alpha^2+\beta^2=17), what are the roots?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsWhat is the nature of the roots of (x^2-2x+(a^2+2)=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf one root of the equation \(3x^2-(3h+1)x+h=0\) is \(\frac{1}{3}\), what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+8x+12=0\), what is the value of \((\alpha-\beta)^2+3\alpha\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsFor (x^2+10x+\lambda=0) to have real distinct roots and both negative roots, what is the correct condition on (\lambda)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf (\alpha,\beta) are roots of (3x^2-13x+4=0), what is the positive value of (\alpha-\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf (x^2+px+36=0) has equal and positive roots, what is the value of (p)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf both roots of the equation \(x^2-12x+m=0\) are prime numbers, what is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf (\alpha,\beta) are roots of (x^2-3x+1=0), what is (\alpha^4+\beta^4)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf (\alpha,\beta) are roots of (x^2-6x+r=0) and (\alpha^2\beta+\alpha\beta^2=54), what is (r)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsWhat are the roots of the equation \(x^2-(u-v)x-uv=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf the roots of the equation x² − 14x + q = 0 are in the ratio 3:4, what is the value of q?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf the roots of 5x^2-4x+λ=0 are not real, what is the correct condition on λ?Class 10Quadratic EquationsNature of RootsHardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-8x+n=0\) and \(\alpha^2+\beta^2=40\), what is the value of \(n\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf the roots of (x^2+ax+b=0) are (\frac{1}{3+\sqrt{5}}) and (\frac{1}{3-\sqrt{5}}), what is the value of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpertMathematicsIf the roots of (x^2-sx+1=0) can be (\tan\theta) and (\cot\theta), what is the correct condition on (s) for real (\theta)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert

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