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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 one zero of (p(x)=x^2+ax+7) is (\sqrt{7}) and (a) is rational, what is (a)?Class 10PolynomialsIrrational numbers and real 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 MathematicsWhich polynomial has zeros \\(1+\sqrt{10}\\) and \\(1-\sqrt{10}\\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf (2+\sqrt{3}) is a zero of a quadratic polynomial with rational coefficients, what will the other zero be?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 (p(x)=x^2-10x+19), what is (\frac{1}{\alpha}+\frac{1}{\beta}), where (\alpha,\beta) are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsWhich of the following polynomials has rational coefficients and irrational conjugate zeros?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (p(x)=x^2+(\sqrt{5}-2)x-2\sqrt{5}), which pair can be its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf a quadratic polynomial has zeroes with sum \(5\sqrt{2}\) and product \(12\), which polynomial represents it?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf the zeros of a polynomial are \(2\sqrt{2}\) and \(3\sqrt{2}\) and the leading coefficient is 1, what is its constant term?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf \(p(x)=x^2-2x-2\), what is the product of its zeroes?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 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 28Hard MathematicsWhich of the following polynomials has zeros \,(\sqrt{2}+\sqrt{3}) and \,(\sqrt{2}-\sqrt{3})?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich polynomial has zeros \(1+\sqrt{2}\) and \(1-\sqrt{2}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf \(p(x)=x^2-2\sqrt{5}x+5\), which statement about its zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the zeros of \(p(x)=x^2-kx+1\) are \(2+\sqrt{3}\) and \(2-\sqrt{3}\), what is the value of \(k\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (p(x)=x^2-6x+4), what is the nature of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the graph of \(p(x)=x^2-11x+30\) is drawn, at which points does it intersect the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf \(p(x)=2x^2-8\), at which \(x\)-values will the graph cut the \(x\)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert