Quick diagnostic test
12 questions across 4 concepts. No sign-up, no time limit.
Why these show up together
First count outcomes with combinations: total ways to choose 2 from 7 is 7C2, and favourable ways to choose 2 red from 4 is 4C2. Probability is then favourable/total — the counting from Permutations & Combinations is exactly the tool Probability relies on.
Why these show up together
Setting up the equidistance condition uses straight-line distance formulas; the centre found this way then plugs into the standard circle equation (x-h)²+(y-k)²=r² — the same coordinate-geometry method carries from lines into conics.