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Conjugate Zeroes

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 quadratic polynomial with rational coefficients is (4+\sqrt{11}), what will be the other zero?Class 10PolynomialsIrrational numbers and real numbersLevel 27ExpertMathematicsIf (2+\sqrt{3}) is a zero of a polynomial with rational coefficients, which linear factor is expected to accompany it?Class 10PolynomialsIrrational numbers and real numbersLevel 26ExpertMathematicsIf one zero of a polynomial is (\sqrt{11}) and the coefficients are rational, which zero should also occur?Class 10PolynomialsIrrational numbers and real numbersLevel 26ExpertMathematicsWhich polynomial has (1+\sqrt{6}) and (1-\sqrt{6}) as zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26ExpertMathematicsIf the zeroes of a monic quadratic polynomial are (4+\sqrt{11}) and (4-\sqrt{11}), what will be the constant term?Class 10PolynomialsIrrational numbers and real numbersLevel 25ExpertMathematicsIf the zeros of a quadratic polynomial are (5+\sqrt{2}) and (5-\sqrt{2}), what is the polynomial in standard form?Class 10PolynomialsIrrational numbers and real numbersLevel 27HardMathematicsIf one zero of a quadratic polynomial with rational coefficients is (6-2\sqrt{5}), what is one possible form of that polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 26HardMathematicsIf zeroes of (x^2-2ax+(a^2-5)=0) are (a+\sqrt{5}) and (a-\sqrt{5}), why is it correct?Class 10PolynomialsIrrational numbers and real numbersLevel 26HardMathematicsWhich polynomial has zeros \(1+\sqrt{2}\) and \(1-\sqrt{2}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsIf \(2+\sqrt{3}\) and \(2-\sqrt{3}\) are zeroes of a quadratic polynomial, what is the polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsIf 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