Question Bank - Mathematics

Here's the question bank on all the mathematics topics.

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If a * b = a2 - ab + b2 and \(a ? b=\dfrac{ab}{2},\) then (1 ? 2) * (3 ? 4) =

A.
30
B.
31
C.
40
D.
41

Solution:

Given,\(a ? b=\dfrac{ab}{2},\)Hence, (1 ? 2) = \(\frac{1\times 2}{2}=1\)And, (3 ? 4) = \(\frac{3\times 4}{2}=6\)Now, We have to find, (1 * 6)Given that,a * b = a2 - ab + b2 Hence, 1 * 2 = 12 - (1 ? 6) + 62 = 31

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