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Given statements: B ≤ I; E = D; H > F; C ≤ H; I = D; A ≤ B; H < E On combining: A ≤ B ≤ I =D = E > H ≥ C ; H > F Conclusions: (i) I > F , True since I= D = E > H > F (ii) B ≤ H, False since either B ≤ H or B > H (iii) A ≤ E , True since A ≤ B ≤ E (iv) E > F , True since E > H > F Hence, option 2 is the answer.
I. x2 – 36 = 0
II. y2 - 7y + 6 = 0
I. 12x2 + 22x + 8 = 0
II. 4y2 - y − 3 = 0
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
I. 4x2+ 25x + 36 =0
II. 2y2+ 5y + 3 = 0
I. x² + 4x + 4 = 0
II. y² - 8y + 16 = 0
(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
I: 3x² - 18x + 24 = 0
II: 5y² + 10y - 15 = 0
I. 35x² + 83x + 36 = 0
II. 42y² + 53y + 15 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0