Download the app

Questions  

If ax2+2hxy+by2+2gx+2fy+c=0 represents a pair of parallel lines then ba

a
g2−acf2−bc
b
f2−bcg2−ac
c
f2−bcg2−ac
d
g2−acf2−bc

detailed solution

Correct option is B

By observing the options, consider the distance between the parallel lines The distance between the parallel lines ax2+2hxy+by2+2gx+2fy+c=0 is 2g2−acaa+bor 2f2−bcba+bEquate these two distances 2g2−aca(a+b)=2f2−bcb(a+b)g2−aca(a+b)=f2−bcb(a+b)                          • squaring on both sidesg2−aca=f2−bcb                            • Cancel out the common factorsba=f2−bcg2−acTherefore,  ba=f2−bcg2−ac

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

If the lines represented by the equation 3y2x2+23x3=0 are rotated about the point (3,0) through an angle of 150, one in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is


phone icon
whats app icon