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JEE Main20205 Sep 2020Evening ShiftMathematicsApplication of DerivativesActual

If the lines x + y = a and x - y = b touch the curve y = x 2 - 3 x + 2 at the points where the curve intersects the x - axis, then a b is equal to …

Correct answer

0

Step-by-step solution

y = x 2 - 3 x + 2 ,    x + y = a , x - y = b ⇒ x 2 - 3 x + 2 = 0 x 1 = 2    x 2 = 1 Therefore, points are ( 2 , 0 )   ( 1 , 0 ) b = 2    a = 1 ∴ a b = 1 2 = 0 . 5

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