If equations a x 2 + b x + c = 0 , a , b , c ∈ R , a ≠ 0 and 2 x 2 + 3 x + 4 = 0 have a common root, then a : b : c equals :

Question

If equations a x 2 + b x + c = 0 , a , b , c ∈ R , a ≠ 0 and 2 x 2 + 3 x + 4 = 0 have a common root, then a : b : c equals :, 2 : 3 : 4, 4 : 3 : 2, 1 : 2 : 3, 3 : 2 : 1

MARKS App · Accepted Answer

a x 2 + b x + c = 0 ....(i) 2 x 2 + 3 x + 4 = 0 ....(ii) For equation (ii), D = 9 - 4 2 4 = - 23 0 Roots are complex conjugates. ⇒ Both roots are common in equation (i) and (ii). ∴ a 2 = b 3 = c 4 ⇒ a : b : c : : 2 : 3 : 4

Search any question & find its solution

Looking for more such questions to practice?