Home
Class 12
MATHS
The equation kx^2+4xy+5y^2=0 represents ...

The equation `kx^2+4xy+5y^2=0` represents two lines inclined at an angle `pi` if `k` is

A

`5//4`

B

`4//5`

C

`-45`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
If the angle between the lines represented by `lambda x^2+4xy+5y^2=0 is pi`, then,
`4-6lambda=0`
`therefore lambda=(4)/(5)`
Promotional Banner

Topper's Solved these Questions

  • PAIR OR STRAIGHT LINES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXCERCISE (Excercise 1) (Topical Problems) (General Equation of Second Degree)|20 Videos

  • PAIR OR STRAIGHT LINES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Excercise 2 (MISCELLANEOUS PROBLEMS)|85 Videos

  • MOCK TEST 5

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • PLANE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|9 Videos

Similar Questions

Explore conceptually related problems

The equation 4x^(2) + 4xy + y^(2) = 0 represents two……

If 3x^(2)-6xy-by^(2)=0 represents a pair of lines inclined at an angle pi then b=

The equation x^(2)+ky^(2)+4xy=0 represents two coincident lines if k=

If the equation kx^(2)-y^(2)+4x-y=0 represents a pair of line, then k=

If the equations kx - 2y = 3 and 3x + y = 5 represent two intersecting lines at unique point, then the value of k is ……………. .

Show that the equation x^(2)-6xy+5y^(2)+10x-14y+9=0 represents a pair of lines. Find the acute angle between them. Also find the point of intersection of the lines.

If the equation kx^2-2xy-y^2-2x+2y=0 represents a pair of lines , then k is equal to

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

If the equation x^(2)+3xy+2y^(2)+x-y+k=0 represents a pair of line, then k=

If the equation 7x^(2)-kxy-7y^(2)=0 represents the bisectors of angles between the lines 2x^(2)-7xy+4y^(2)=0 then: k=