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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 |A \ B| = 17, |B \ A| = 23, and |A ∩ B| = 14, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)MediumMathematicsIf A ∪ B = U, A ∩ B = C, and C ⊆ A, then A \ B is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)HardMathematicsIf A = [-4, 6) and B = (-1, 8], what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)MediumMathematicsIf U = {1, 2, ..., 84}, A = {x ∈ U : 7 divides x}, and B = {x ∈ U : 12 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)MediumMathematicsIf (\alpha,\beta) are roots of (x^2-10x+q=0) and (\alpha^2+\beta^2=58), what is the value of (q)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsIf the roots of the equation \(x^2-2(k+1)x+k^2=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsWhat is the standard form with integer coefficients of (\frac{(x+1)^2}{2}+\frac{(x-3)^2}{3}=10)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsThe equation \\(x^2+10x+k=0\\) has no real roots. What is the correct condition on \\(k\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsIf α and β are roots of x² − 6x − 27 = 0, what is αβ + 3α + 3β?Class 10Quadratic EquationsRoots of a Quadratic EquationMediumMathematicsIf \(\alpha\) and \(\beta\) are the roots of \(x^2-13x+36=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsA right triangle has a base of \((x+3)\) units, a height of \((x+7)\) units, and an area of 55 square units. Which quadratic equation represents this situation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsThe roots of the quadratic equation \(x^2-7x+3=0\) are \(\alpha\) and \(\beta\). What is the value of \(\alpha+\beta+3\alpha\beta\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsWhat is the standard form of ((x-3)^2+(x+4)^2=(x-1)^2)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsIf \(a=-2\), what type of statement does \((a+2)x^2+(a^2-4)x+7=0\) become?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsThe length of a rectangle is \(x+3\) cm and its breadth is \(x-2\) cm. If its area is \(40\) cm², which is the correct quadratic equation in \(x\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsWhat is the sum of cubes of the roots of (x^2-5x-14=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsWhich quadratic equation has sum of roots (0) and product (-121)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsIf (x=2) is not a root of (kx^2-7x+3=0), what condition must (k) satisfy?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsThe roots of (x^2+px+25=0) are equal and positive. What is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpertMathematicsIf one root of (x^2+mx+36=0) is the reciprocal of the other, what can be said about (m)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert

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