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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 \(p(x)=x^3+rx^2+s\) satisfies \(p(0)=5\) and \(p(1)=9\), what is the value of \(r\)?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsIf a = 0 and b = -2 in p(x) = x^3 + ax^2 + bx + 1, what will the polynomial be?Class 10PolynomialsPolynomials in one variableLevel 47Easy 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 MathematicsAssertion: In the equation \(x^2-2(a-3b)x+(a+3b)^2=0\), if \(ab<0\), then its roots are real and distinct. Reason: The discriminant of this equation is \(D=-48ab\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the two roots of \(2x^2+mx+18=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the two roots of (x^2-2(a+b)x+4ab=0) are equal, which of the following relations must be true?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf α and β are roots of x^2+px+q=0 and α+1 and β+1 are roots of x^2-5x+6=0, what are p and q?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the roots of the quadratic equation \(x^2+px+q=0\) are \(4\) and \(-1\), what is the value of \(p-q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of the quadratic equation \(x^2+px+q=0\) are \(-2\) and \(-5\), what is the value of \(p+q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of the quadratic equation \(x^2+mx+30=0\) are \(-5\) and \(-6\), what is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the two roots of the equation \(x^2+ax+16=0\) are 4 and 4, what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf \(x=4\) is a root of the equation \(x^2+mx-20=0\), what is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsIf \(x=-1\) is a root of \(x^2+(6k-3)x+5k=0\), what is the value of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of \(x^2-20x+k=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the condition on p for the equation \(x^2+2px+49=0\) to have real roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf 5 and 6 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf 4 and 5 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf 2 and 3 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf both roots of the equation \(x^2 + u x + 64 = 0\) are 8, what is the value of \(u\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsIf the quadratic equation \(x^2 + s x + 18 = 0\) has roots \(-3\) and \(-6\), what is the value of \(s\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium