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Perfect Square

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

MathematicsIf \(p(x)=x^2-6kx+9k^2\), at which x-value will its graph touch the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard MathematicsIf (p(x)=x^2-12x+36), at which point will the graph touch the (x)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Hard MathematicsIf (p(x)=x^2+8x+16), at which point will the graph touch the (x)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf \(p(x)=x^2-2kx+k^2\), at which x-value will its graph touch the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf p(x) = x² − 12x + 36, what is the distinct real zero?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf \(p(x)=x^2+4x+4\), how many real zeros are there?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf someone says (\sqrt{2}) is irrational because (2) is not a perfect square, what correction is appropriate at expert level?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (\sqrt{4}) is used instead of (\sqrt{2}), why will the same contradiction proof not apply?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsHow does (5) not being a perfect square help in understanding the irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich statement correctly relates perfect squares and irrational square roots?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option is a correct example of an irrational square root because it is not a perfect square?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf a student writes that (\sqrt{5}) is rational because (5) is a whole number, what is the correct correction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich square root is rational, so an irrationality proof like (\sqrt{2}) does not apply to it?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhich square root is not an example of irrationality proof in this chapter because it is rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhy can (\sqrt{2}), (\sqrt{3}), and (\sqrt{5}) not be directly treated as integers?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhich square root is rational, so it does not need a proof like (\sqrt{2}), (\sqrt{3}), or (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhich of the following is not a perfect square and its square root is proved irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhich option correctly describes (4+\sqrt{9})?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (\sqrt{x}) is irrational then which conclusion is always correct?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (\sqrt{n}) is rational and (n) is a positive integer then what is true about (n)?Class 10Real NumbersIrrational numbersLevel 15Expert