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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।

MathematicsAssertion: The graph of the parabola \(y=3x^2-6x+11\) does not intersect the \(x\)-axis. Reason: The discriminant of the corresponding quadratic equation is \(D=-96\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsAssertion: In the equation \(x^2-2(a-3b)x+(a+3b)^2=0\), if \(ab<0\), then its roots are real and distinct. Reason: The discriminant of this equation is \(D=-48ab\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsAssertion: The graph of the quadratic equation \(2x^2-4x+7=0\) does not intersect the \(x\)-axis. Reason: The discriminant of this equation is \(D=-40\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsAssertion: In the equation \(x^2-2(a-b)x+(a+b)^2=0\), if \(ab<0\), its roots are real and distinct. Reason: The discriminant of this equation is \(D=-16ab\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Expert 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 MathematicsAssertion: For the equation \(x^2-2(a+b)x+(a-b)^2=0\), if \(ab>0\), its roots are real and distinct. Reason: The discriminant of this equation is \(D=16ab\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsAssertion: x²−6x+11=0 has real and irrational roots. Reason: Its D=-8. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsAssertion: The quadratic equation \(7x^2-14x+7=0\) has equal roots. Reason: Its discriminant is \(D=0\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsAssertion: The quadratic equation \(x^2+3x+7=0\) has no real roots. Reason: If the discriminant \(D\) of a quadratic equation is less than zero, then it has no real roots. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsAssertion: The quadratic equation \(2x^2-8x+8=0\) has two equal roots. Reason: Its discriminant is \(D=0\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsAssertion: The equation \(x^2-10x+25=0\) has equal roots. Reason: Its discriminant is \(D=0\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsAssertion: If A ⊆ B, then A ∩ B = A. Reason: Every element of A is also in B. Choose the correct option.Class 10SetsVenn DiagramsLevel 15Medium MathematicsAssertion: (A∪B)′=A′∩B′. Reason: To be outside A∪B, an element must be outside both A and B. Choose the correct option.Class 10SetsComplement of a Set and Its PropertiesLevel 15Medium MathematicsAssertion: If A ∩ B = ∅, then n(A ∪ B) = n(A) + n(B). Reason: Disjoint sets have no common elements or common region. Choose the correct option.Class 10SetsVenn DiagramsLevel 14Medium MathematicsAssertion: n(A ∪ B) = n(A) + n(B) − n(A ∩ B). Reason: Elements of A ∩ B are counted twice in n(A) + n(B). Choose the correct option.Class 10SetsVenn DiagramsLevel 14Medium MathematicsAssertion: If n(A) = n(B), then A = B. Reason: Equal cardinality always gives identical elements. Choose the correct option.Class 10SetsEqual sets and SubsetsLevel 7Easy MathematicsAssertion: If A = B, then A ⊆ B. Reason: Equal sets have exactly the same elements. Choose the correct option.Class 10SetsEqual sets and SubsetsLevel 7Easy MathematicsAssertion: ∅ ⊆ A is true for every set A. Reason: There is no element in ∅ that is not in A. Choose the correct option.Class 10SetsEqual sets and SubsetsLevel 7Medium MathematicsAssertion: If \(A\subset B\), then \(\mathcal{P}(A)\subset \mathcal{P}(B)\). Reason: Every subset of \(A\) is also a subset of \(B\), and \(B\) itself is in \(\mathcal{P}(B)\) but not in \(\mathcal{P}(A)\). Choose the correct option.Class 10SetsEqual sets and SubsetsLevel 8Hard MathematicsAssertion: (\frac{169}{2^3\cdot 5^4\cdot 13^2}) has a terminating decimal. Reason: After reducing, only (2) and (5) remain in the denominator. Choose the correct option.Class 10Real NumbersDecimal expansion of rational numbersLevel 21Expert