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Sum Product

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

MathematicsTwo numbers have sum (11) and product (30). They can be roots of which quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIn which option will both the sum and product of roots be positive?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich pair of roots is correct for the equation \(x^2-3x-40=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsWhich quadratic equation has sum of roots (-8) and product (15)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsWhich quadratic equation has sum of roots (-6) and product (8)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsWhich quadratic equation has roots whose sum is 5 and product is 6?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Medium 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 \(\alpha\beta=21\), what are the zeros (roots)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert 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 the zeroes of (x^2-Sx+P) are (2\sqrt{3}+1) and (2\sqrt{3}-1), what are (S) and (P)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf p(x)=x^2−6√2x+17, what are the sum and product of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsIf \(p(x)=x^2-(3+\sqrt{2})x+3\sqrt{2}\), which is the correct pair of zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (\alpha) and (\beta) are zeroes of (x^2-3x-2), what is ((\alpha-\beta)^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (p(x)=x^2-2x-4), what is the sum of squares of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf the zeroes of \(x^2+px+q\) are \(7+2\sqrt{3}\) and \(7-2\sqrt{3}\), what is the value of \(p+q\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (p(x)=x^2-(\sqrt{5}+\sqrt{7})x+\sqrt{35}), which is the correct pair of zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf p(x)=x^2−2√6x+5, what are the product and sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsIf p(x)=x^2−(√2+√3)x+√6, what are the zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-(1+\sqrt{3})x+\sqrt{3}), what are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (\alpha=\sqrt{5}) and (\beta=-\sqrt{5}), which is the correct pair of (\alpha+\beta) and (\alpha\beta)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard