If 4a^2 + 9b^2 - c^2 + 12ab=0 , then the...

If `4a^2 + 9b^2 - c^2 + 12ab`=0 , then the family of straight lines ax + by + c =0 is concurrent at

A

(-2,3) or (2,-3)

B

(-2,3) or (-2,-3)

C

(2,3) or (2,-3)

D

(2,3) or (-2,-3)

Text Solution

Verified by Experts

The correct Answer is:

D

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

FAMILY OF LINES
MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|1 Videos
FAMILY OF LINES
MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos
FAMILY OF LINES
MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos
ELLIPSE
MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos
FUNCTIONS
MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos

Similar Questions

Explore conceptually related problems

If 3a + 2b + 6c = 0 the family of straight lines ax+by + c = 0 passes through a fixed point . Find the coordinates of fixed point .

If b^(2) - 4ac gt 0, then find the nature of roots of quadratic equations ax^(2) + bx+ c =0

Knowledge Check

If a gt 0, b gt 0 and c gt 0 , then both the roots of the equations ax^2 + bx + c =0

A

are real and negative

B

have negative real parts

C

are rational numbers

D

are purely imaginary

If a + b + c = 0 , then the equation equation : 3ax^(2) + 2bx + c = 0 has :

A

at least on root in (0,1)

B

one root in (2,3) and the other in (-2,-1)

C

imaginary roots

D

None of these

If the pair of lines x y-x-y+1=0 and the line a x+2 y-3=0 are concurrent then a=

A

-1

B

0

C

3

D

1

Similar Questions

Explore conceptually related problems

If the pair of lines x y-x-y+1=0 and the line a x+2 y-3=0 are concurrent then a=

ax^(2) + 2hxy + by^(2) + 2 gx + 2fy + c=0 represents two parallel straight lines if

The equation ax + by + c =0 represents a straight line

The lines 2 x+y-1=0, a x+3 y-3=0 and 3 x+2 y-2=0 are concurrent

The three lines a x+b y+c=0, b x+c y+a=0 and c x+a y+b=0 are concurrent only when

MODERN PUBLICATION-FAMILY OF LINES -MULTIPLE CHOICE QUESTION (LEVEL II)

If 4a^2 + 9b^2 - c^2 + 12ab=0 , then the family of straight lines ax +...
04:07
|
The distance between the parallel lines given by (x+7y)^(2)+4sqrt(2...
02:45
|
The pair of st lines perpendicular to the pari ax^(2)+2hxy+by^(2)=0 ...
02:34
|
The equation 3x^(2)+2hxy+y^(2)=0 represent a pair of st lines passin...
00:44
|
The sum of the slopes of the lines represented by 4x^(2)+2hxy-7y^(2)=0...
01:08
|
If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angl...
01:02
|
If the pairs of lines 3x^(2)-2pxy-3y^(2)=0 and 5x^(2)-2qxy-5y^(2)=0...
01:38
|
If pair of st lines ax^(2)+2hxy-ay^(2)-ay^(2)=0 and bx^(2)+2gxy-by^(2)...
01:58
|
Let PQR be a right angled isosceles triangle right angled at P(2,1) ...
01:53
|
If the pair of lines a x^(2)+2 h x y+b y^(2)=0 is rotated about the or...
04:28
|
The equation of the image of the pair of lines y =|x| by the line x ...
02:21
|
If x^(2)-kxy+y^(2)+2y+2=0 represent a pair of st lines then k equa...
01:55
|
The equation 8x^(2)+8xy+2y^(2)+26x+13y+15=0 represents a pair of paral...
01:50
|
If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel lines then
02:08
|
The lines joining the origin to the point of intersection of the curve...
03:23
|
The lines joining the origin to the points of intersectio of the curv...
04:03
|
The equation x-y=4 and x^(2)+4xy+y^(2)=0 represent the sides of
04:15
|
A diagonal of the rectangle formed by the lines x^(2)-7x+6=0 and y^(...
01:44
|
If two of the lines ax^(3)+bx^(2)y+cxy^(2)+dy^(3)=0 make complementa...
02:15
|
If the pairs of lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)=0 be su...
01:27
|