Question
Statements: D = B ≤ I < L ≥ M = R; T = U ≥
L Conclusion: I. D < U II. B = T In these questions, a relationship between elements is shown in the statements. The statements are followed by two conclusions. Give answerSolution
Given statements: D = B ≤ I < L ≥ M = R……(i) T = U ≥ L……(ii) From (i) and (ii), we get D = B ≤ I < L ≥ M = R…….(iii) From (iii), U > D or D < U is true. From (iii), T > B or B < T is true. But conclusion II (B = T) is not true. Hence, only conclusion I is true.
I. 14p2 – 135p + 81 = 0
II. 7q2 – 65q + 18 = 0
I. x3 = 1728
II. y2 – 15y + 56 = 0
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
Equation 1: x² - 250x + 15625 = 0
Equation 2: y² - 240y + 14400 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
I. 3p² + 13p + 14 = 0
II. 8q² + 26q + 21 = 0
I. x ² + 5 x + 6 = 0                Â
II. y²+ 7 y + 12= 0
...Roots of the quadratic equation 2x2 + x – 528 = 0 is
l. x2 - 16x + 64 = 0
II. y2Â = 64
If x + 1/x = 3, find x² + 1/x².