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Given statements: B ≤ C < E; D ≤ F ≤ G; E = D; A > B On combining: A > B ≤ C < E = D ≤ F ≤ G Conclusions: (i) E ≥ G False since E = D ≤ F ≤ G (ii) A < E False since A > B ≤ C < E (iii) B ≤ G False since B < G (iv) C < F True since C < E = D ≤ F Hence, option 4 is the answer.
I. 4x² - 15x + 9 = 0
II. 20y² - 23y + 6 = 0
If the roots of the quadratic equation 6m² + 7m + 8 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
I. 2x² + 15 x - 27 = 0
II. 3 y² + 25 y - 18 = 0
I. 15y2+ 26y + 8 = 0
II. 20x2+ 7x – 6 = 0
I. 2x2- 5x - 33 =0
II. 2y2+ 5y - 25 = 0
Quantity I: The cash price of a notebook is Rs. 100 but is can also be purchased on 11 monthly equal instalments of Rs. 10 each. Find rate of S.I.?
...I. 4x2 + 9x - 9 = 0
II. 4y2 - 19y + 12 = 0
I. x2 - 5x - 14 = 0
II. y2 - 16y + 64 = 0
What is the nature of the roots of the quadratic equation x² – 5x + 7 = 0 ?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 29x + 210 = 0
Equation 2: y² - 27y + 182 = 0