Question

If the slope of one of the lines represented by

ax² + 2hxy + by² = 0 bethe square of the other then

=

• A. 4
• B. 6
• C. 8
• D. None of these

Answer 1

Answer: (B)

6

Answer 2

m & m² be the slopes of the lines represented by

ax² + 2hxy + by² = 0

m + m² = –

mm² = Ž m³ = $\frac { \mathrm { a } } { \mathrm { b } }$

(m + m²)³ = $\left( - \frac { 2 h } { b } \right) ^ { 3 }$

m³ + m⁶ + 3mm² (m + m²) = – $\frac { 8 h ^ { 3 } } { b ^ { 3 } }$

(a + b) =

$\frac { a + b } { h }$ + = 6