Question

13 root 8 +1 upon 2 root 8 -5 root 8​

Answer 1

Step-by-step explanation:

Solution

1 and 2 only

3 only

2 and 3 only

1,2 and 3

Answer :

C

Solution :

If one root is 12−3ii.e,2+3i4+9=213+313i, then another

root will be 213−3i13i.e,12+3i. [since cmplex roots are conjugate]

So, statement (1) is not correct.

Since, quadratic equation has two roots thus this equation has only imaginary roots. Statement (2) is correct.

∴ The equation is

x2−(Sum of roots)x+(Product of roots)=0

Sum of roots =12−3i+12+3i=413

Product of roots =12−3i×12+3i=113

⇒ x2−413x+113=0⇒13x2−4x+1=0

⇒ So, statement 3 is correct.

Thus, (2) and (3) statements are correct.

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