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List of top Atmospheric Science Questions on Coordinate Geometry asked in CUET (PG)

Match List - I with List - II

List - I (Property)List - II (Expression)
A. Change of Scale PropertyIII. \(L\{f(at)\}=\frac{1}{a}F\left(\frac{s}{a}\right)\)
B. Final Value TheoremIV. \(\lim_{s\to 0}[sF(s)] = \lim_{t\to \infty} f(t)\)
C. Heaviside's Shifting TheoremII. \(L\{g(t)\} = e^{-as}F(s)\)
D. First Shifting TheoremI. \(L[e^{at}f(t)] = F(s-a)\)
  • CUET (PG) - 2026
  • CUET (PG)
  • Atmospheric Science
  • Coordinate Geometry
Let \((\alpha, \beta)\) be the centre and \(\gamma\) be the radius of the circle \(x^2+y^2-6x-2y-15=0\), then the value of \((\alpha^2+\beta^2+\gamma^2)\) is:
  • CUET (PG) - 2025
  • CUET (PG)
  • Atmospheric Science
  • Coordinate Geometry
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