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Conjugates

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

MathematicsIf (3+\sqrt{2}) and (3-\sqrt{2}) are zeroes of a polynomial, what is the sum of the zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf \(a=\sqrt{11}+\sqrt{5}\) and \(b=\sqrt{11}-\sqrt{5}\), what is the value of \(ab\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf the zeros of a quadratic polynomial are \(5+\sqrt{3}\) and \(5-\sqrt{3}\), what is their product?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (a=7+4\sqrt{3}) and (b=7-4\sqrt{3}), then what type of number is (ab)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (\alpha=5+\sqrt{6}) and (\beta=5-\sqrt{6}), what are (\alpha+\beta) and (\alpha\beta) respectively?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (\alpha=\sqrt{5}+2) and (\beta=\sqrt{5}-2), what is (\alpha\beta)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the zeroes of a quadratic polynomial are \(4+\sqrt{7}\) and \(4-\sqrt{7}\), what is their product?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the zeroes of a quadratic polynomial are \(3+\sqrt{5}\) and \(3-\sqrt{5}\), what is their sum?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the zeroes of x^2−2x+m are 1+√6 and 1−√6, what is m?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsIf (\alpha=1+\sqrt{2}) and (\beta=1-\sqrt{2}), what is (\alpha^3+\beta^3)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (\alpha=5+\sqrt{6}) and (\beta=5-\sqrt{6}), what is the value of (\alpha^2+\beta^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf the zeroes of (x^2+bx+12) are (2+\sqrt{7}) and (2-\sqrt{7}), what is the error?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (\alpha=2+\sqrt{5}) and (\beta=2-\sqrt{5}), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-12x+31), what is the difference between its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-2mx+(m^2-3)), in what form will its zeroes be?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (\alpha=3+\sqrt{11}) and (\beta=3-\sqrt{11}), what is (\alpha^2+\beta^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsFor which values of p and q will \(x^2+px+q\) have zeros \(4+\sqrt{7}\) and \(4-\sqrt{7}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (a+\sqrt{b}) and (a-\sqrt{b}) are zeroes of a monic quadratic polynomial, what is the constant term?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (\alpha=5+\sqrt{6}) and (\beta=5-\sqrt{6}), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (\alpha=2+\sqrt{7}) and (\beta=2-\sqrt{7}), what is (\alpha^2+\beta^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard