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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 \(p(x)=x^2-4x+3\), which of the following values of \(x\) makes \(p(x)<0\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf (p(x)=x^2-12x+35), what is (\frac{1}{\alpha-1}+\frac{1}{\beta-1}), where (\alpha,\beta) are zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf p(x) = 2x² − 7x + 5, what is the difference between the sum and product of its zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf the zeroes of p(x) = x² + bx + 16 are reciprocals of each other, what can be said about b?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf (\alpha,\beta) are zeroes of (x^2-9x+20), what is the value of ((\alpha+2)(\beta+2))?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf (p(x)=2x^2-5x-3), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha}), where (\alpha,\beta) are zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf (x=2) and (x=-3) are zeroes of (p(x)=ax^2+bx+c), what is (\frac{c}{a})?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf (\alpha) and (\beta) are zeroes of (3x^2-10x+7), what is the value of (\alpha^2+\beta^2)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf the zeroes of (p(x)=x^2-(m+4)x+4m) are (4) and (m), which statement is correct?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf one zero of the polynomial \(p(x)=x^2-10x+r\) is \(4\), what is its other zero?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsWhich polynomial has 8-19 and 849 as its zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the zeroes of the polynomial \(p(x)=x^2+px+q\) are 4 and −5, what is the value of \(p+q\)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf p(x) = x³ − 6x² + 11x − 6, what are the zeroes of p(x)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the zeroes of (p(x)=x^2-(k+2)x+3k) are (3) and (k), which statement is correct?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the zeroes of a quadratic polynomial are (2) and (5), what is one monic polynomial?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsFor p(x)=x^3+2x^2-4x-8, what is p(2)-p(-2)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf (\alpha) and (\beta) are zeroes of the quadratic polynomial (x^2-6x+k) and (\alpha^2+\beta^2=20), what is the value of (k)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsWhich statement is correct for the polynomial \(p(x)=x^3-7x+6\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(p(x)=4x^2-12x+9\), which statement about its zeroes is correct?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf (\alpha) and (\beta) are zeroes of (x^2-3x-10), what is (\alpha^2\beta+\alpha\beta^2)?Class 10PolynomialsPolynomials in one variableLevel 46Hard