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Mathematics

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

MathematicsA rectangle has length 4 cm more than its breadth and area 96 cm². What is the breadth?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy MathematicsThe sum of two numbers is 17 and their product is 72. What is the smaller number?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy 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 MathematicsIf a quadratic equation has discriminant D = 49 − 16h², what are the values of h for equal roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf x² − 2px + (p² − 64) = 0, what is the nature of the roots for any real value of p?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhich option is correct about the roots of 5x² − 3√5x + 6 = 0?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf p ≠ 2 in (p − 2)x² − 2(p + 2)x + (p + 6) = 0, what is the condition on p for real roots?Class 10Quadratic EquationsNature of RootsLevel 39Hard MathematicsIf x² − 2(k − 4)x + (k² − 10k + 27) = 0 has no real roots, which condition on k is correct?Class 10Quadratic EquationsNature of RootsLevel 39Hard MathematicsIf D = b² − 4ac is positive but not a perfect square, what is the most accurate nature of the roots of ax² + bx + c = 0?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf x² − 2rx + (r² − 49) = 0, what is the nature of the roots for any real value of r?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsA student writes D=16 for x²−2(k−2)x+k²=0. What is the correct discriminant D?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf x² − 2px + (p² − 25) = 0, what is the nature of the roots for any real value of p?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhich option is correct about the roots of 2x² − 3√2 x + 7 = 0?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf x² + 2(t + 1)x + (3t + 7) = 0 has no real roots, in which interval will t lie?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIn (q + 2)x² − 2(q − 1)x + q = 0, with q ≠ −2, what is the value of q for equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf p ≠ 1 in (p − 1)x² − 2(p + 1)x + (p + 3) = 0, what is the condition on p for real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf x² − 2(k − 3)x + (k² − 8k + 20) = 0 has no real roots, what is the correct condition on k?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsAn area situation gives l² - 2(a + 3)l + (a² + 10) = 0. What is the condition on a for real length values?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf x² - 2rx + (r² - 16) = 0, what is the nature of the roots for any real value of r?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf a quadratic has discriminant D = 25 - 4q², what are the values of q for equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium