If x * y = \frac{1}{x} + \frac{1}{y} for all x, y € R- {0} then ( 4 *5 )* (3*2) =

AP ICET 2019 Shift 1 Paper

Question : 74 of 200

Marks: +1, -0

x * y = {1}/{x} + {1}/{y}

for all x, y € R- {0} then

( 4 *5 )* (3*2)

Solution:

From the given information

(4 * 5) * (3 * 2) = (1/4 + 1/5) * (1/3 + 1/2)

= (9/20) * (5/6)

= 20/9 + 6/5

= (100 + 54) / 45

= 154/45

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