STATEMENT - 1 : If `x^(2)+2x+3=0` and `7x^(2)+lx+k = 0` have a common roots, then `l+k = 35`. Given `l, k epsilon R`.
STATEMENT - 2 : If `a, b, c epsilon R` and roots of a quadratic equation `ax^(2)+bx+c=0` are imaginary then roots occurs in conjugate pair.

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

Answer

A

Explanation

Statement -1 : If `x^(2)+2x +` ………..
`x^(2)+2x+3=0` has imaginary roots and `l, k epsilon R`
`:. 7x^(2)+lx+k = 0` has an imaginary root
Since imaginary roots are in conjugate pair
`:.` Both the roots are common
Thus `(7)/(1) = (l)/(2) = (k)/(3) implies l = 14, k = 21`
`:. l + k = 35`.