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Given vectors a = 4i+5j−k, b = i−4j+5k, and c=3i+j−k. Find a vector d which is perpendicular to both

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If ∑[r=1 to 30] r² * (³⁰Cᵣ)² / (³⁰Cᵣ₋₁) = α * 2²⁹, then find the value of α | JEE MAIN 2025 Binomial

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If |z/(z+i)| = 2 represents a circle with centre P then distance of P from point D(1,5) is |JEE MAIN

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The Story of Math: How Ancient Discoveries Shaped Modern Mathematics

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If ∫₀ˣ t·ftdt = x²·f(x) and f(2) = 3, then f(6) equals to A) 1 B) 6 C) 3 D) 2 | JEE MAIN 2025