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Irrational Roots

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

MathematicsIf one zero of a polynomial is (\sqrt{11}) and the coefficients are rational, which zero should also occur?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (p(x)=x^2-4x-1), what are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsFor which value of (k) will the roots of (x^2-2kx+2=0) be irrational and real?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (x^2-6x+1=0), what type are the values of (x)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf \(p(x)=x^2-2\sqrt{2}x+1\), what is the type of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsWhich of the following polynomials has zeros \(3+\sqrt{2}\) and \(3-\sqrt{2}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsFor which value of \(k\) will \(x^2-6x+k\) have real and irrational zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsFor which value of \(k\) will the zeroes of \(x^2-2x+k\) be real and irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf the zeroes of p(x) = x² − k are irrational real, which condition on k is correct?Class 10Real NumbersIrrational numbersLevel 27Hard MathematicsIf (p(x)=x^2-2), which statement about the zeroes of (p(x)) is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf \(p(x)=x^2-2\sqrt{7}x+7\), what is the number and nature of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf a quadratic polynomial has rational coefficients and one zero is \\(4+\sqrt{11}\\), what is the sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich of the following polynomials has zeros \,(\sqrt{2}+\sqrt{3}) and \,(\sqrt{2}-\sqrt{3})?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf one zero of \(p(x)=x^2+ax-6\) is \(-\sqrt{6}\) and the other is \(\sqrt{6}\), what is the value of \(a\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the zeros of \(p(x)=x^2-kx+1\) are \(2+\sqrt{3}\) and \(2-\sqrt{3}\), what is the value of \(k\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf \(2+\sqrt{3}\) and \(2-\sqrt{3}\) are zeroes of a quadratic polynomial, what is the polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich polynomial has zeros \\(\\sqrt{7}\\) and \\(-\\sqrt{7}\\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf a quadratic polynomial has rational coefficients and one zero is (3+\sqrt{5}), what will be the other zero?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf √k is irrational and k is a positive integer, which k can be correct?Class 10Real NumbersIrrational numbersLevel 27Easy MathematicsWhich statement is correct about √11?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy