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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 5 + √21 is a zero of a quadratic polynomial with rational coefficients, which is one possible form of that polynomial?Class 10Real NumbersIrrational numbersLevel 27MediumMathematicsIf 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 26ExpertMathematicsIf 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 26ExpertMathematicsIf (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 26ExpertMathematicsOne zero of a quadratic polynomial with rational coefficients is (3-\sqrt{5}). What will be the other zero?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsIf (2+\sqrt{3}) is a zero of the polynomial (x^2-4x+1), what is the other zero?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsIf the zeroes of a monic quadratic polynomial are \(a+\sqrt{b}\) and \(a-\sqrt{b}\), what is its discriminant?Class 10PolynomialsIrrational numbers and real numbersLevel 25ExpertMathematicsIf the zeroes of x^2+px−3 are 2+√7 and 2−√7, what is p?Class 10PolynomialsIrrational numbers and real numbersLevel 25MediumMathematicsIf 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 25ExpertMathematicsWhich of the following polynomials has zeros \(3+\sqrt{2}\) and \(3-\sqrt{2}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25ExpertMathematicsIf 2+√13 is one zero of a quadratic polynomial with rational coefficients, what can the coefficient of x be?Class 10PolynomialsIrrational numbers and real numbersLevel 25HardMathematicsWhich polynomial has zeros \\(1+\sqrt{10}\\) and \\(1-\sqrt{10}\\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27HardMathematicsIf 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 26HardMathematicsIf 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 26HardMathematicsIf a quadratic polynomial has rational coefficients and one zero is \\(4+\sqrt{11}\\), what is the sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsFor which value of k will \(p(x)=x^2-10x+k\) have zeros \(5+\sqrt{2}\) and \(5-\sqrt{2}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard