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Zeroes

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

MathematicsIf \(\alpha\) and \(\beta\) are the zeroes of \(x^2-8x+k\) and \(\alpha-\beta=2\), what is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsFor which (k) does (x^2+kx+9) have one zero three times the other and both positive?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf (\alpha) and (\beta) are zeroes of (x^2-4x+1), what is (\alpha^3+\beta^3)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf (\alpha) and (\beta) are zeroes of (2x^2-3x-5), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(x^2+ax+b\) are \(4\) and \(-7\), what is the value of \(a-b\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsWhich of the following can be a quadratic polynomial whose zeroes are \(\frac{2}{3}\) and \(-\frac{5}{4}\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(p(x)=x^2-5x+6\), what is the value of \(p(2)+p(3)\)?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsIf (\alpha+\beta=18) and (\alpha\beta=74), which conjugate irrational pair is possible?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (\alpha+\beta=10) and (\alpha\beta=21), which conjugate irrational pair is possible?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (\alpha=7+\sqrt{6}) and (\beta=7-\sqrt{6}), what is (\alpha^2+\beta^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsWhich quadratic polynomial has zeros \(2+\sqrt{10}\) and \(2-\sqrt{10}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf the zeroes of (p(x)=x^2-6x+k) are (3+\sqrt{2}) and (3-\sqrt{2}), what is the value of (k)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf the zeroes of (p(x)=x^2-2kx+9) are (k+\sqrt{7}) and (k-\sqrt{7}), what is the value of (k)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (\alpha) and (\beta) are zeroes of a quadratic polynomial where (\alpha+\beta=8) and (\alpha\beta=11), which are the possible zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (\alpha=4+\sqrt{15}) and (\beta=4-\sqrt{15}), what is (\alpha+\beta+\alpha\beta)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhich quadratic polynomial has zeroes (3+\sqrt{2}) and (3-\sqrt{2})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (p(x)=x^2-\sqrt{5}x), what are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (p(x)=x^2-(\sqrt{3}+1)x+\sqrt{3}), what are the zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard 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 (p(x)=x^2+2\sqrt{7}x+6), what are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert