Q. A circle with the equation \( (x – h)^2 + (y – k)^2 = r^2 \) is shifted 3 units to the right and 2 units down. What is the new equation of the circle? Solution: The original center …
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The Biot–Savart Law is a fundamental relation in electromagnetism that explains how a current-carrying conductor produces a magnetic field. It is analogous to Coulomb’s Law, but instead of charges, it deals with moving charges (current). When current flows through a …
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1. The dimensions of \( \frac{1}{2} \varepsilon_0 E^2 \) is (1) \( MLT^{-2} \) (2) \( ML^{-1}T^{-2} \) (3) \( MLT^{-1} \) (4) \( ML^{-1}T^{-1} \) Answer: (2) Explanation: The expression \( u_e = \frac{1}{2} \varepsilon_0 E^2 \) represents electric …
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1. The rule for divisibility by 9 is similar to divisibility rule for 3. That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. For example, with 2871, …
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Conversion from Cartesian coordinates \((x, y)\) to Polar coordinates \((r, \theta)\) is a fundamental concept in mathematics. What are the two systems? Cartesian System → A point is represented as \((x, y)\) Polar System → A point is represented as …
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Electrical Engineering GATE EE Solved Question Paper 2026 …
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