Home
Class 12
MATHS
The equation 3x^2+2hxy+3y^2=0 represents...

The equation `3x^2+2hxy+3y^2=0` represents a pair of straight lines passing through the origin . The two lines are: a)real and distinct if `h^2gt9` b)real and distinct if `h^2gt3` c)real and coincident if `h^2gt12` d)real and coincident if `h^2gt9`

A

real and distinct if `h^2gt3`

B

real and distinct if `h^2gt9`

C

real and coincident if `h^2gt12`

D

real and coincident if `h^2gt3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

a(x^(2)-y^(2))+xy=0 represents a pair of straight lines for

6x^(2)+hxy+12y^(2)=0 represents pair of parallel straight lines, if h is

If the equation 3x^(2)-2y^(2)+lamda xy -x+5y-2=0 represents a pair of straight lines then lamda=

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

The value of h for which the equation 3x^2+2hxy-3y^2-40x+30y-75=0 represents a pair of straight lines , are

If the equation 4x^2+hxy+y^2=0 represent coincident lines, then h is equal to

The equation to the pair of straight lines passing through (2, 1) and perpendicular to the pair of lines 4xy+2x+6y+3=0 is

if x^2/a+y^2/b+(2xy)/h=0 represent pair of straight lies and slope one line is twice the other line then ab:h^2 .

The equation of the straight line passing through the point (3,2) and perpendicular to the line y=x is