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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^2-2ax+(a^2-7)) and (a) is rational, which statement about the zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf p(x)=x²−2√6x+5, what are the product and sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsIf \(p(x)=x^2-2x+5\), why are its zeroes not real?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf p(x) = x² − (√2 + √3)x + √6, what are the zeroes?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 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 p(x) = x² − 2√2x + 2, which is the correct factorized form of p(x)?Class 10PolynomialsPolynomials in one variableLevel 27Medium MathematicsFor which value of \(k\) will the zeroes of \(x^2-2x+k\) be real and irrational?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-10x+1), what type of number is the product of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (p(x)=x^2-2), which statement about the zeroes of (p(x)) is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf the zeros of the quadratic \(x^2-4x+r\) are rational, is the statement true when \(r=3\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf \(p(x)=x^2-3x+\sqrt{2}\), what is the product of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf p(x) = x² + 6x + 7, what type of zeroes does it have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 26Hard MathematicsIf \(p(x)=x^2-4\sqrt{2}x+8\), in which form can it be written?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf the zeros of \(p(x)=x^2-6x+n\) are \(3+\sqrt{m}\) and \(3-\sqrt{m}\), and \(n=5\), what is the value of \(m\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf the zeros of \(f(x)=x^2+px+q\) are \(7+\sqrt{13}\) and \(7-\sqrt{13}\), what is the value of \(p+q\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsFor which polynomial does substituting (x=\sqrt{3}) give value 0?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf √2 and √8 are zeroes of a quadratic polynomial, what is the sum of the zeroes?Class 10PolynomialsPolynomials in one variableLevel 27Medium MathematicsIf the sum of zeroes is 2√5 and the product is 4, which is a monic quadratic polynomial?Class 10PolynomialsPolynomials in one variableLevel 27Medium MathematicsIf p(x) = 2x² − 4√2x + 4, what is the sum of its zeroes?Class 10PolynomialsPolynomials in one variableLevel 27Medium