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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 the zeroes of a quadratic polynomial are \(3+\sqrt{5}\) and \(3-\sqrt{5}\), what is their sum?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich option is actually a rational number?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich of the following numbers is definitely rational?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (a) is rational and (a\ne0), what type of number is (a\sqrt{5})?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (\sqrt{2}+x) is a rational number and (x) is a real number, which statement about (x) is definitely true?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf 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 25Expert MathematicsIf \(p(x)=x^2-2\sqrt{2}x+1\), what is the type of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf the zeroes are \\( \\frac{3+\\sqrt{5}}{2} \\) and \\( \\frac{3-\\sqrt{5}}{2} \\), what is the monic quadratic polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsWhich of the following polynomials has both zeroes as irrational real numbers?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 MathematicsFor which value of \(k\) will \(x^2-6x+k\) have real and irrational zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert 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) = x² + 6x + 6, what is the correct classification of its zeroes?Class 10Real NumbersIrrational numbersLevel 27Hard 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 (\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 MathematicsIf the zeroes of p(x) = x² − k are irrational real, which condition on k is correct?Class 10Real NumbersIrrational 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 MathematicsWhich of the following polynomials has rational coefficients and irrational conjugate zeros?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard 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 the zeroes of x² − 4x + r are to be real and irrational, what happens when r = 2?Class 10Real NumbersIrrational numbersLevel 26Hard