Home
Class 12
MATHS
If one of the lines of the pair ax^(2)+2...

If one of the lines of the pair `ax^(2)+2hxy+by^(2)=0` bisects the angle between positive direction of the axes, then a, b and h satisfy the relation.

A

`a+b=2|h|`

B

`a+b=-2h`

C

`a-b=-2|h|`

D

`(a-b)^(2)=4h^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ML KHANNA|Exercise PROBLEM SET (1)(TRUE AND FALSE)|5 Videos

  • PAIR OF STRAIGHT LINES

    ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|3 Videos

  • NUMERICAL METHODS

    ML KHANNA|Exercise SELF ASSESSMENT TEST|10 Videos

  • PARTIAL FRACTION

    ML KHANNA|Exercise PROBLEM SET-1 (FILL IN THE BLANKS)|8 Videos

Similar Questions

Explore conceptually related problems

if one of the lines the pair ax^2+2hxy+by^2=0 bisects the angle between positive directions of the axes , then a, b, h, satisfy the relation

If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angle betwen the positive direction of the axes. Then find the relation for a,b, and h.

If one of the lines of ax^(2)+2hxy+by^(2)=0 bisects the angle between the axes, in the first quadrant, then

If one of the lines given by the equation ax^(2)+6xy+by^(2)=0 bisects the angle between the co-ordinate axes, then value of (a+b) can be :

If one of the lines given by kx^(2)+xy-y^(2)=0 bisects the angle between the co-ordinate axes, then k=

If one of the lines given by kx^(2)+2hxy+by^(2)=0 bisects the angle between the axes in the first qaudrant, then

If one of the lines denoted by the line pair ax^(2)+2hxy+by^(2)=0 bisects the angle between the coordinate axes,then prove that (a+b)^(2)=4h^(2)

One of the lines given by the equation ax^2+2lamdaxy+by^2=0 will bisect the angle between the coordinate axes if

One of the lines represented by the equation ax^(2)+bxy+cy^(2)=0 bisects an angle between the co-ordinate axes