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In Delta ABC, a point P is chosen on si...

In `Delta ABC,` a point P is chosen on side `vec(AB)` so that `AP : PB =1:4 ` and a point Q is choosen on the side `vec(BC)` so that `CQ: QB =1 : 3.` Segment `vec(CP) and vec(AQ) ` intersects at M. If the ratio `(MC)/(PC)` is expressed as a rational number in the lowest term as `(a)/(b),` then find `|a - b|.`

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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 79-MATHEMATICS
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