Article 324 of the Indian Constitution provides for the appointment of the Chief Election Commissioner and Election Commissioners. The CEC and ECs are appointed by the President of India. The decisions of the ECI are taken collectively and require a majority opinion. The CEC does not have absolute veto power and decisions are taken by consensus or majority opinion. While the Chief Election Commissioner (CEC) enjoys a fixed tenure of six years or until the age of 65, whichever is earlier, the Election Commissioners (ECs) do not have a fixed tenure. The Election Commissioners can be removed by the President of India on the recommendation of the Chief Election Commissioner.
How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.
I. 2y² - 35y + 132 = 0
II. 2x² - 31x + 110 = 0
LCM of 'x' and 'y' is 30 and their HCF is 1 such that {10 > x > y > 1}.
I. 2p²- (x + y) p + 3q = 0
II. 2q² + (9x + 2) = (3x + b) q
I). p2 - 20p + 51 = 0,
II). 2q2 - 7q + 6 = 0
I. 27x² + 120x + 77 = 0
II. 56y² + 117y + 36 = 0
What will be the product of smaller roots of both equations.
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
I. 2p² - 11p + 12 = 0
II. 2q² - 17q + 36 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 137x + 108 = 0
Equation 2: 31y² - 146y +...
I. 2x2 + 13x + 21 = 0
II. 3y2 + 34y + 63 = 0