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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।

MathematicsA root of a quadratic equation \(p(x)=0\) is a number which, when substituted for x, makes the value of \(p(x)\) equal to what?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32EasyMathematicsA rectangle has length \((x+10)\) and breadth \((x-7)\). If its area is \(160\), which equation is correct?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf \(x=-1\) is a root of the quadratic equation \(x^2+(4k-1)x+3k=0\), what is the value of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28ExpertMathematicsWrite the equation \((x-6)^2 = 4x + 5\) in its standard form \(ax^2+bx+c=0\).Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30MediumMathematicsIf \(x^2-12x+35=0\), what is the value of the left-hand side when \(x=5\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29MediumMathematicsIf the roots are -3 and -8, what is the product of the roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29MediumMathematicsWhat is the degree of the equation (x^2+1=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30EasyMathematicsFor the quadratic equation \(ax^2+bx+c=0\), what condition must the coefficient \(a\) satisfy?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30EasyMathematicsWhich statement about a quadratic equation is false?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29EasyMathematicsIf the side of a square is \\(x+2)\\ and the area is \\49\\, which equation is formed?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29EasyMathematicsWhich of the following equations becomes \(x^2+2x-8=0\) after writing it in standard form (i.e., bringing all terms to the left)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29EasyMathematicsIf (p(x)=2x^2-3x+\sqrt{2}), what type of polynomial is it?Class 10PolynomialsIrrational numbers and real numbersLevel 26HardMathematicsIf (\alpha=5+\sqrt{6}) and (\beta=5-\sqrt{6}), what are (\alpha+\beta) and (\alpha\beta) respectively?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsIf (p(x)=x^2-2x-2), which statement about (1+\sqrt{3}) is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25ExpertMathematicsIf (p(x)=x^2-3x-\sqrt{2}), which statement about the coefficients of (p(x)) is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 27HardMathematicsIf (p(x)=x^2-2x-2), what is the value of (p(\sqrt{2}))?Class 10PolynomialsIrrational numbers and real numbersLevel 27HardMathematicsIf 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 26HardMathematicsIf \(p(x)=x^2-2x-2\), what is the product of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26HardMathematicsIf \(p(x)=x^2-2\sqrt{5}x+5\), which statement about its zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsWhich option is a correct quadratic equation for (x=\sqrt{2}+\sqrt{3})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard