Home
Class 12
MATHS
The condition that the gradient of one l...

The condition that the gradient of one line is twice the gradient of another line
represented by the equation `ax^(2)+2hxy+by^(2)=0` is

A

(a) `ab=(8h^(2))/9`

B

(b) `ab=h^(2)`

C

(c) `h^(2)+ab=0`

D

(d) `h=a+b`

Text Solution

Verified by Experts

The correct Answer is:
A

NA
Promotional Banner

Similar Questions

Explore conceptually related problems

One of the lines represented by the equation x^(2)+6xy=0 is

If one of the lines represented by the equation ax^(2)+2hxy+by^(2)=0 be y=mx then

Two lines represented by equation x^(2)+xy+y^(2)=0 are

The nature of straight lines represented by the equation 4x^(2)+12xy+9y^(2)=0 is

The straight lines represented by the equation 9x^(2)-12xy+4y^(2)=0 are

The angles between the lines represented by the equation 4x^(2)-24xy+11y^(2)=0 are

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

if lines represented by equation px^(2)-qy^(2)=0 are distinct, then

The equations of the lines represented by the equation ax^2 + (a + b)xy + by^2 + x + y = 0 are

The equation of one of the lines represented by the equation pq(x^2-y^2)+(p^2-q^2)xy=0 , is