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Mathematics · 2024

JEE Main · 30 January 2024, Shift 2 · Q16

If x^2-y^2+2 h x y+2 g x+2 f y+c=0 is the locus of a point, which moves such that it is always equidistant from the lines x+2 y+7=0 and 2 x-y+8=0,…

If $\displaystyle x^2-y^2+2 h x y+2 g x+2 f y+c=0$ is the locus of a point, which moves such that it is always equidistant from the lines $\displaystyle x+2 y+7=0$ and $\displaystyle 2 x-y+8=0$, then the value of $\displaystyle g+c+h-f$ equals
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.