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Transformed Roots

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf roots of (x^2-16x+48=0) are (\alpha,\beta), which equation has roots (\alpha+6,\beta+6)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Expert MathematicsIf roots of (x^2-14x+33=0) are (\alpha,\beta), which equation has roots (\alpha+5,\beta+5)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Expert MathematicsIf roots of (x^2-12x+20=0) are (\alpha,\beta), which equation has roots (\alpha+4,\beta+4)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Expert MathematicsIf roots of (x^2-10x+16=0) are (\alpha,\beta), which equation has roots (\alpha+3,\beta+3)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Hard MathematicsIf roots of (x^2-8x+12=0) are (\alpha,\beta), which equation has roots (\alpha+2,\beta+2)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Hard MathematicsIf roots of (x^2-6x+5=0) are (\alpha,\beta), which equation has roots (\alpha+1,\beta+1)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Hard MathematicsIf (\alpha,\beta) are the roots of (x^2-7x+12=0), which equation has roots (2\alpha+3) and (2\beta+3)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (\alpha,\beta) are the roots of (x^2-9x+14=0), which equation has roots (\alpha-3) and (\beta-3)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf (α,β) are the roots of (x^2-6x+5=0), which equation has roots (3α-2) and (3β-2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard 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 MathematicsThe roots of x^2-5x+6=0 are α and β. Which equation has roots α+1 and β+1?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-4x-5=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-10x+24=0\), what is the value of \((\alpha-2)(\beta-2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-9x+18=0\), what is the value of \((\alpha-2)(\beta-2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 8\alpha9 and 8\beta9 are the roots of 8x^2-6x+5=09, what is the sum of 8\alpha+39 and 8\beta+39?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf α and β are roots of x^2-4x+3=0, which equation has 3α and 3β as roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 2 is subtracted from each root of the equation \(x^2-6x-16=0\), what is the product of the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 1 is added to each root of the equation \(x^2-6x-16=0\), which monic equation is formed from the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-2x-8=0\), what is the value of \(\left(\alpha+3\right)\left(\beta+3\right)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-5x+4=0\), what is the sum of \((\alpha+2)\) and \((\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard