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find length of intercept made by the parabola y2 = 4x on x + y = 3

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STEP 1 : 

equation the line : y = 3 – x …….. (1) 

Equation of parabola : y2 = 4x …….. (2) 

Line intersects parabola in A and B . 

Solving (1) & (2) : 

STEP 2 : 

length of chord AB

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