Home
Class 12
MATHS
If the angle between the two lines given...

If the angle between the two lines given by `ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` is `(pi)/4`,
then the contsntant `a,b,h,g,f,c` are related by

A

(a) `a^(2)+6ab+4b^(2)=4h^(2)`

B

(b) `abc+2fgh-af^(2)-bg^(2)-ch^(2)=0`

C

(c) `a^(2)-ab+b^(2)=h^(2)`

D

(d) `a^(2)+6ab+b^(2)=4h^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D

NA
Promotional Banner

Similar Questions

Explore conceptually related problems

If the acute angle between the lines x^(2)-4hxy+3y^(2)=0 is 60^(@) then h=

If the acute angle between the lines ax^(2) + 2hxy + by^(2) = 0 is 60^(@) , then show that (a+3b)(3a+b) = 4h^(2) .

If the slope of one of the lines given by ax^(2)+2hxy+by^(2)=0 is two times the other, then

If the ratio of gradients of the line given by ax^(2)+2hxy+by^(2)=0 is 1:3 , then h^(2):ab=

If the gradient of one of the lines given by x^(2)+hxy+2y^(2)=0 is twice that of the other, then h =

The angle between the lines represented by the equation ax^(2)+xy+by^(2)=0 will be 45^(@) if

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

if ax^2+2hxy+by^2+2gx+2fy+c=0 then find dy/dx

The angle between the lines given by the equation lamday^(2)+(1-lamda^(2))xy-lamda x^(2)=0 is