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Gujarat will host India's first Olympic Research Conference in January 2025, highlighting the country's interest in bidding for the 2036 Olympics. The conference will bring together national and international experts to discuss sports development, infrastructure requirements, and policy frameworks to strengthen India's Olympic bid. The proposed central venue for the 2036 bid is the Narendra Modi Stadium in Ahmedabad, Gujarat, which would showcase India's heritage alongside modern facilities.
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
