Question

The quadratic equation, whose roots are A.M. and H.M. between the roots of the equation ax² + bx + c = 0 is-

• A. abx² + (b² + ac)x + bc
• B. 2abx² + (b² + 4ac)x + 2bc = 0
• C. 2abx² + (b² + ac)x + bc = 0
• D. abx² + (b² + 4ac)x + 2bc = 0

Answer 1

Answer: (B)

2abx² + (b² + 4ac)x + 2bc = 0

Answer 2

a + b = – b/a, ab = c/a, A.M. = –b/2a,

H.M. = $\frac{2c/a}{- b/a}$ = –$\frac{2c}{a}$

$\left( x + \frac { b } { 2 a } \right)$ $\left( x + \frac{2c}{b} \right)$ = 0

Ž 2abx² + (b² + 4ac)x + 2bc = 0