prove that @=±2

The lines represented by x2+2@xy +2y2=0 and the lines represented by (1+@)x2-8xy+y2=0 are equally incline then calculate prove that @=±2

3 Answers

1
greatvishal swami ·

dis might help
2 pairs of lines L1L2=0 & L3L4=0 r equally inclined if da angle btw L1=0 & L3=0 equal to
angle btw L2=0 & L4=0.

62
Lokesh Verma ·

angle between two lines is given by

(m1-m2)/(1+m1m2)

for a quadratic,

m1-m2=√b2-4ac /2a

m1m2=c/a

Convert to this form and just put in these values :)

62
Lokesh Verma ·

the above expression is not exactly angle but tan of the angle..

so i have sort of assumed that equal angles means equal values of tan of those angles! :)

Your Answer

Close [X]