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Irrational Zeroes

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

MathematicsIf (p(x)=x^2-12x+c) has one zero (6+\sqrt{19}) and the coefficients are rational, what is the value of (c)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf p(x) = x² − 14x + 38, what is the correct type of its zeroes?Class 10Real NumbersIrrational numbersLevel 27Medium MathematicsWhich option has all rational coefficients and zeroes (6+\sqrt{11}) and (6-\sqrt{11})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (p(x)=x^2-10x+23), what type of zeroes does it have?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (p(x)) is a quadratic polynomial with rational coefficients and one zero is (2+\sqrt{7}), what will be the other zero?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsOne zero of a quadratic polynomial with rational coefficients is (3-\sqrt{5}). What will be the other zero?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (p(x)=x^2-10x+19), what are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich monic quadratic polynomial has zeroes (2+\sqrt{6}) and (2-\sqrt{6})?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (2+\sqrt{3}) is a zero of the polynomial (x^2-4x+1), what is the other zero?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf p(x)=x^2+2x−8 and q(x)=x^2+2x−7, which comparison is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf (p(x)=3x^2-18x+21), what type of zeroes does it have?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (p(x)=x^2-2ax+(a^2-7)) and (a) is rational, which statement about the zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsWhich statement is correct for (x^2-2ax+(a^2-b)), where (b>0) and (b) is not a perfect square?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf p(x)=x^2−(√2+√3)x+√6, what are the zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsWhich polynomial has a rational sum of zeroes but both zeroes are irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf p(x) = x² + 6x + 6, what is the correct classification of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-5), where will the graph (y=p(x)) cut the (x)-axis?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-6x+4), what type of zeroes does it have?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf the zeroes of x² − 4x + r are to be real and irrational, what happens when r = 2?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (p(x)=x^2-(\sqrt{2}+\sqrt{3})x+\sqrt{6}), what can its zeroes be?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard