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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।

MathematicsWhat are the roots of the equation \(3x^2-12x=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31EasyMathematicsIf (8x^2-32x+24=0) is divided by (8), which simplified equation is obtained?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30MediumMathematicsIf (6x^2-18x+12=0) is divided by (6), which simplified equation is obtained?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29MediumMathematicsIf (3x^2-12x+12=0) is divided by (3), which simplified equation is obtained?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28MediumMathematicsIf (p(x)=3x^2-18x+21), what type of zeroes does it have?Class 10PolynomialsIrrational numbers and real numbersLevel 25ExpertMathematicsIf (p(x)=3x^2-12x+6), what are its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27HardMathematicsAfter assuming (\sqrt{5}) rational and getting (a^2=5b^2), how does a common factor appear in (a) and (b)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18ExpertMathematicsWhich statement directly conflicts with the coprimality of (p) and (q) in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18ExpertMathematicsIn the proof for (\sqrt{2}), if both (p) and (q) are even, what does writing (p=2m) and (q=2n) show?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17ExpertMathematicsIf (3\mid a) and (3\mid b), what contradiction arises with assuming (\frac{a}{b}) in lowest form?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17ExpertMathematicsIn the proof for (\sqrt{2}), when both (p) and (q) are proved even, which statement about (\frac{p}{q}) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17ExpertMathematicsIf (p) and (q) are coprime, why can (p=5m) and (q=5n) not hold together?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIf (x) and (y) are coprime, which situation is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIn the proof for (\sqrt{3}), after putting (a=3k), which correct conclusion follows?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIf (p) and (q) are coprime, which of the following is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhich option gives the correct contradictory result after assuming (\sqrt{2}) rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsWhich argument directly proves that (\sqrt{3}) cannot be rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18HardMathematicsIf (a) and (b) are coprime, which result will immediately give a contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17HardMathematicsWhich option gives a result against (\gcd(p,q)=1) in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIf (p) and (q) are coprime, which result would most directly contradict this?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard