Pair Of Straight Lines Question 15
Question: . The lines $ a^{2}x^{2}+bcy^{2}=a(b+c)xy $ will be coincident, if
Options:
A) $ a=0 $ or $ b=c $
B) $ a=b $ or $ a=c $
C) $ c=0 $ or $ a=b $
D) $ a=b+c $
Show Answer
Answer:
Correct Answer: A
Solution:
The lines are coincident, if $ H^{2}-AB=0, $ so $ {{{ \frac{a(b+c)}{2} }}^{2}}-a^{2}(bc)=0 $
Therefore $ a^{2}{{(b-c)}^{2}}=0 $
Therefore a = 0 or $ b=c $ .
BETA
