If (10.24 × 10.24) - (10.24 × A) + (0.24 × 0.24) is a perfect square, then find the value of 'A'.

Correct option is C

As we know,
(a - b)$$^2$$​ = a$$^2$$​+ b$$^2$$​ - 2ab
=>(10.24 × 10.24)- (10.24 x A) + (0.24 × 0.24)
=> (10.24)$$^2$$​ – (10.24 × A) + (0.24)$$^2$$​​
(10.24 – 0.24)$$^2$$​ = 10.24$$^2$$​ + 0.24$$^2$$​ – 2 × 10.24 × 0.24
On comparing,
=>2 × 10.24 × 0.24=10.24 × A
A = 0.48
As we can see from Venn diagram only 1 condition is true .