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Kerala became the first state in India to establish a Senior Citizens Commission by passing the Kerala State Senior Citizens Commission Bill 2025. The commission will focus on protecting the rights, welfare, and rehabilitation of elderly citizens and will be based in Thiruvananthapuram.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
I. 3p² - 11p + 10 = 0
II. 2q² + 13q + 21 = 0
I). 5p2 - p - 4 = 0
II). q2 - 12q + 27 = 0
If 3x – 2y = 10 and xy = 11, the value of 27x³ – 8y³ is __________.
Equation 1: x² - 90x + 2025 = 0
Equation 2: y² - 88y + 1936 = 0
If x2 - 3x - 18 = 0 and y2 + 9y + 18 = 0, which of the following is true?
I. 99x² + 161 x + 26 = 0
II. 26 y² + 161 y + 99 = 0
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is
...I. y² + y – 56 = 0
II. 2x² + 11 x – 40 = 0
(i) 2x² + 14x - 16 = 0
(ii) y² – y – 12 = 0
