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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 polynomial p(x) = x² + 2x + c has no real zero, which condition on c is correct?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(p(x)=3x^2-12x+15\), what is the correct conclusion about its real zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf both zeroes of (p(x)=x^2+rx+9) are equal and negative, what is the value of (r)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsFor p(x)=x^2-2x+2, what is the correct conclusion about its real zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf both zeroes of (p(x)=2x^2+kx+8) are equal, what is the value of (k^2)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf \(p(x)=x^2+6x+9\), what is the nature of its zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the zeroes of x²−9x+k are equal, what is k?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsA (20\text{ m}) long rope forms a rectangle in an open field. If the area is (96\text{ m}^2), is this situation possible?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Expert MathematicsIf the discriminant of a quadratic equation is \(D=(r-2)^2-9\), which interval of \(r\) results in no real roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf \\(m+4)x^2-2(m+2)x+m=0\\) with \\(m\ne -4\\), what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the equation x² − 2(a + 1)x + (a² + 4a + 5) = 0 has no real roots, which condition on a is correct?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf x² − (a + b + 1)x + ab + a + b = 0, on what does the nature of the roots depend for a and b?Class 10Quadratic EquationsNature of RootsLevel 39Hard MathematicsIf \(x^2-(2a+5)x+(a+2)(a+3)=0\), where \(a\) is a real constant, what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsA number problem leads to the equation \(n^2-2pn+(p^2-11p)=0\). What condition on \(p\) is necessary for the equation to have two real and distinct values of \(n\)?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsSuppose the quadratic equation \(ax^2+bx+c=0\) has two distinct real roots. Which condition definitely indicates that the roots have opposite signs?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsFor the quadratic equation \(ax^2+bx+c=0\) with real coefficients, where \(a\ne0\), if \(\frac{c}{a}<0\), which statement about its roots is correct?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsFor the parabola \(y=x^2-2kx+(k^2-16)\), at how many distinct points will it intersect the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsHow does the parabola \(y=x^2-2(k+2)x+(k+2)^2\) meet the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsHow many points of intersection are there between the parabola \(y=x^2-2kx+k^2+9\) and the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf \(r\) is any real number in the equation \(x^2-2rx+(r^2+49)=0\), what is the correct conclusion about its roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert