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Class 10 · Mathematics
→If A ⊆ B in a universal set U, which of the following relations is always true?
Class 10 · Mathematics
→If U = {1,2,3,4,5,6,7,8}, A = {1,2,3,4}, and B = {5,6,7,8}, what is the relation between B and A?
Class 10 · Mathematics
→What is the sum of the squares of the roots of the equation \(x^2-9x+14=0\)?
Class 10 · Mathematics
→If the roots of the equation \(x^2+ax+25=0\) are \(5\) and \(5\), what is the value of \(a\)?
Class 10 · Mathematics
→What are the roots of the quadratic equation \(x^2-14x+45=0\)?
Class 10 · Mathematics
→One root of the equation \(x^2-15x+54=0\) is \(6\). What is the other root?
Class 10 · Mathematics
→Which quadratic equation has −3 and 6 as its roots?
Class 10 · Mathematics
→For the quadratic equation \(x^2-14x+49=0\), what are the sum and product of its roots, respectively?
Class 10 · Mathematics
→If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, and Aᶜ ⊆ B ⊆ U, what is the smallest possible set B?
Class 10 · Mathematics
→If Aᶜ ⊆ Bᶜ, which of the following conclusions is correct?
Class 10 · Mathematics
→One root of the equation \(x^2-11x+30=0\) is \(5\). What is the other root?
Class 10 · Mathematics
→If the roots of \(x^2+px+q=0\) are \(p+2\) and \(q-2\), and \(p+q=8\), what is the value of \(p\)?
Class 10 · Mathematics
→If α and β are roots of x² − 7x − 30 = 0, what is αβ + 4α + 4β?
Class 10 · Mathematics
→If the roots of the quadratic equation \(x^2+bx+c=0\) are \(-5\) and \(11\), what is the value of \(b+c\)?
Class 10 · Mathematics
→If one root of x² + ax + 40 = 0 is 5, what are the other root and a?
Class 10 · Mathematics
→If 7 and 8 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?
Class 10 · Mathematics
→If one root of x² + ax + 24 = 0 is 4, what are the other root and a?
Class 10 · Mathematics
→Which of the following quadratic equations has roots that are reciprocals of each other?
Class 10 · Mathematics
→If \(A\cup B=A\) and \(A\cap B=B\), which of the following statements must be true?
Class 10 · Mathematics
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