Question
In December 2021, IIT-_______ signed an MoU with the
Indian Air Force (IAF) to accelerate IAF’s indigenisation efforts for achieving self-reliance .Solution
IIT Delhi signed an MoU with the Indian Air Force (IAF) for various developmental projects to support the requirements of the IAF. The joint partnership between the IAF and IIT Delhi aims to accelerate IAF’s indigenisation efforts for achieving self-reliance.
If x + y + xy = 118, such that x < y and both 'x' and 'y' are positive integers, then find minimum value of (x + y) .
If 0.125x3 +0.216y3 = 210 and 0.25x2 + 0.36y2 = 10.30 then find the value of 0.5x + 0.6y.
If p = 33 - q - r and pq + r(q + p) = 260, then find the value of (p² + q² + r²).
If x + 1/x = 5 then find out the value of x⁵ + 1/(x⁵)?
If (a + b) = 9 and ab = 14, find the value of (a² + b²).

Find the value of 3/4 cot² 30° + cos² 30°-3cosec²60° + tan² 60°.
If 8x3 - 125y3 = (2x - Ay) X (Bx2 + 25y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
If (a + b) = 9 and (a2 + b2) = 53, then find the value of (a × b).
- Find the value of the expression {(4096) n /4 × 8 3n + 1 }/{(512) n × 8 n – 1 }.