Flag Most Scoring Topics in IIT JEE> if the straight line 2x+3y=1, x+ 2y=1 and...
question mark

if the straight line 2x+3y=1, x+ 2y=1 and ax + by =1 form a triangle with origin as orthocenter , then (a,b) is

sadaf sagheer , 6 Years ago
Grade 12th pass
anser 1 Answers
Arun

Last Activity: 6 Years ago

solving first two lines you get the point opposite to the side formed by ax+by-1=0 .the point i s P1(-1,1).

since the origin is the orthocentre the product of slope joining P1 and oigin should be perpendicular to the variable line.

from the above condition u get the condition that a= -b .

using second and third line ,the line passing throught the point on intersection and origin is x(a-1)+y(b-2)=0 .this line is perpendicular to the first  line. this gives you the second condition u need to get values of a and b 

a=8 , b =-8
 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...