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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.A. STATEMENT - 1 is True, STATEMENT- 2 is True , STATEMENT - 2 is a correct explanation for STATEMENT - 1B. STATEMENT - 1 is True, STATEMENT - 2 is True , STATEMENT - 2 is NOT a correct explanation for STATEMENT - 1C. STATEMENT -1 is True, STATEMENT - 2 is FalseD. STATEMENT -1 is False, STATEMENT - 2 is True |
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Answer» Correct Answer - A 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`. |
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