1800-150-456-789
FlagBACK
Flag Analytical Geometry> prove that four straight lines represente...
question mark

prove that four straight lines represented by the equation 12x2 +7xy -12y2=0 and 12x2 +7xy -12y2 -x +7y -10 form a square

ANIKA , 11 Years ago
Grade
anser 1 Answers
Arun Kumar

Last Activity: 11 Years ago

Hello Student,
12x2+7xy -12y2=0
12x2+7xy -12y2-x +7y -10
with first x=(-7y +- yroot(49+144*4))/24
you will get 2 lines from here
with second do the same thing
x=(-7y+1 +- root((7y-1)^2 – 4*(12)(-12y^2+7y-10)))
after solving you will find that under root part is actually a perfect square
Now you got 4 eq. you
Evaluate yourself.
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
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


Other Related Questions on analytical geometry

question mark
  • The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is 
analytical geometry
1 Answer Available

Last Activity: 3 Years ago

question mark
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
analytical geometry
1 Answer Available

Last Activity: 3 Years ago

question mark
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
analytical geometry
1 Answer Available

Last Activity: 3 Years ago

question mark
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius. 
 
analytical geometry
1 Answer Available

Last Activity: 3 Years ago

question mark
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
1 Answer Available

Last Activity: 3 Years ago