help@askiitians.com

1800-150-456-789

Analytical Geometry> If the pair of straight lines ax 2 + 2hxy...

question mark

If the pair of straight lines ax2 + 2hxy – ay2 = 0 and bx2 + 2gxy – by2 =0 be such that each bisectthe angle between the other , thenhg + ab = 0ah + bg = 0h2 – ab = 0ag + bh = 0

Kartikey Sharma , 9 Years ago

Grade 12th pass

1 Answers

Latika Leekha

Last Activity: 9 Years ago

Hello student,
The equation of the bisectors of angles between the lines ax²+ 2hxy - ay² = 0 is
(x²-y²)/(a-(-a)) = xy/h
or hx²- 2axy – hy² = 0 ….…. (1)
Also, bx²+ 2gxy – by² = 0 …. (2)
Therefore, from (1) and (2), by comparing the coefficients, we get
h/b = -2a/2g
So, hg = -ab or hg + ab = 0.

Provide a better Answer & Earn Cool Goodies

Enter text here...

LIVE ONLINE CLASSES

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

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is

analytical geometry

0 Answer Available

Last Activity: 2 Years ago

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

0 Answer Available

Last Activity: 2 Years ago

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

0 Answer Available

Last Activity: 2 Years ago

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

0 Answer Available

Last Activity: 2 Years ago

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

0 Answer Available

Last Activity: 3 Years ago

View all Questions