If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz – x2 – y2 – z2?
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A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?
If x = (√5) + 1 and y = (√5) – 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6?
If P = 7 + 4√3 and PQ = 1, then what is the value of (1/P2) + (1/Q2)?
Which of the following statement(s) is/are true?
I. (65)1/6 > (17)1/4 > (12)1/3 II. (17)1/4 > (65)1/6 > (12)1/3 III. (12)1/3 > (17)1/4 > (65)1/6
If (333 + 333 + 333) (233 + 233) = 6x, then what is the value of x?
If 56 × 75 × 60 × 84 × 210 = 2p × 3q × 5r × 7s, then what is the value of [(p + q)/s] + r?
If A = 11x2+11x4+12x3+14x7+13x4+17x10... upto 20 terms, then what is the value of A?
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