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Pulakesin II, the Chalukya ruler, famously thwarted the northern expansion of Harshavardhana near the banks of the Narmada River, establishing a significant historical precedent for regional power dynamics in ancient India.
(288 ÷ 8)² × (144 ÷ 24)³ = 24 × ? × (51840 ÷ 20)
If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 – 3(a – 4 ) (b – 2 ) (c &n...
If 9x² + y² = 37 and xy=2, x, y>0, then the value of (27x³ + y³) is:
Given that (3a + 7b = 54) and (ab = 24), determine the value of (9a2 + 49b2).
In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. th...
If x + y = 4 and (1/x) + (1/y) = 24/7, then the value of (x3 + y3).