Question

If one of the lines represented by the equation $ax^{2} + 2hxy + by^{2} = 0$ be $y = mx,$ then

• A. $bm^{2} + 2hm + a = 0$
• B. $bm^{2} + 2hm - a = 0$
• C. $am^{2} + 2hm + b = 0$
• D. $bm^{2} - 2hm + a = 0$

Answer 1

Answer: (A)

$bm^{2} + 2hm + a = 0$

Answer 2

Substituting the value of y in the equation

$ax^{2} + 2hxy + by^{2} = 0$

⇒$ax^{2} + 2hx(mx) + b(mx)^{2} = 0 \Rightarrow$ $a + 2hm + bm^{2} = 0$