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The NIP aims to invest ₹111 lakh crore in infrastructure projects by 2025 to boost economic growth. Launched in 2019. Covers sectors like energy, transport, and water. Enhances infrastructure development. Encourages private and public investment. Generates employment opportunities.
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
