`If `a

Answer

A

Explanation

Let `f(x)=(x-a)(x-c)+(x-b)(x-d)`
Here, `f(a)=+ve`
`f(b)=-ve`
`f(c)=-ve`
`f(d)=+ve`
`therefore` There exists two real and distinct roots one in the interval (a,b) and other in (c,d).
Hence, statement is true.