Statement-1: ln a `!ABC`, if
tan A : tan B : tan C = 1 : 2: 3, then A = `45^(@)`
Statement-2: If p: q: r = 1 : 2: 3, then p = 1

Options

A. Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement- 2 is True.

Explanation

In a `!ABC`, we have tan A : tan B : tan C = 1 : 2: 3
So, let tan A= x, tan B = 2x and tan C = 3x.
We know that tan A + tan B + tan C = tan A tan B tan C
`rArrx+2x+3x=6x^(3)`
`rArrx=1[becausexne-1,0]`
`thereforetanA=1rArrA=45^(@)`
So, statement-1 is true.
Clearly, statement-2 is not true, because p : q: r = 1 : 2 : 3 for p = 3, q = 6 and r = 9, but p`ne1`.