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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 \(p(x)=x^2-(3+\sqrt{2})x+3\sqrt{2}\), which is the correct pair of zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (\alpha) and (\beta) are zeroes of (x^2-2x-11), what is (\alpha^2+\beta^2+\alpha\beta)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (p(x)=x^2-(a+b)x+ab) and (a=\sqrt{2}), (b=\sqrt{18}), what is the product of the zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsWhich option correctly gives the zeroes of (x^2-2\sqrt{3}x-1)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (p(x)=2x^2-8x+1), which is the correct form of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf (p(x)=x^2-4x-1), what is (\frac{1}{\alpha}+\frac{1}{\beta}), where (\alpha) and (\beta) are its zeroes?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 MathematicsWhich option gives the correct simplified form of (\sqrt{12}), useful in simplifying polynomial zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-14x+45) and (q(x)=x^2-14x+40), which statement is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf \(\alpha\) and \(\beta\) are zeroes of \(x^2-7x+5\), what type of numbers are \(\alpha\) and \(\beta\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf p(x)=5x^2-5, what are its zeroes and their type?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsIf (p(x)=x^2-4x-6), which is the correct pair of 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 (p(x)=3x^2-12x+6), what are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsWhich pair can be irrational zeroes of a quadratic polynomial with rational coefficients?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf the zeroes of a quadratic polynomial are (3+\sqrt{5}) and (3-\sqrt{5}), what is the type of their sum?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 (p(x)=x^2-8x+10), what are its zeroes?Class 10PolynomialsPolynomials in one variableLevel 28Medium MathematicsIf a graph cuts the x-axis at -7 and -2, what are the solutions of p(x) = 0?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Easy MathematicsIf \(p(x)=-(x-3)(x+1)\), what are the zeros of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert