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Class 10 Mcq

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

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 MathematicsAssertion: The graph of x² + 2x + 5 = 0 does not cut the x-axis. Reason: Its discriminant D = −16. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhich root nature is correct for 2x² − 5√2x + 12 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which value of p will px²+6x+3=0 have equal roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the sign of D for the quadratic equation 5x²−2x+3=0?Class 10Quadratic EquationsNature of RootsLevel 39Easy