The lines ax + by + c = 0, where 3a + 2b...

The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at the point (a) `(1/2 ,3/4)` (b) `(1,3)` (c) `(3,1)` (d) `(3/4 ,1/2)`

`(3/4,1/2)`

`(1/2,3/4)`

`(-3/4,-1/2)`

`(-1/2,-3/4)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

THE STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|15 Videos
THE STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|15 Videos
THE STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|16 Videos
SETS, RELATIONS AND FUNCTIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
THEORY OF EQUATIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The straight lines 4a x+3b y+c=0 , where a+b+c are concurrent at the point a) (4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

If 4a^2+b^2+2c^2+4a b-6a c-3b c=0, then the family of lines a x+b y+c=0 may be concurrent at point(s) (-1,-1/2) (b) (-1,-1) (-2,-1) (d) (-1,2)

If 6a^2-3b^2-c^2+7ab-ac+4bc=0 then the family of lines ax+by+c=0,|a|+|b| != 0 can be concurrent at concurrent (A) (-2,3) (B) (3,-1) (C) (2,3) (D) (-3,1)

If the straight lines x+y-2=0,2x-y+1=0 and a x+b y-c=0 are concurrent, then the family of lines 2a x+3b y+c=0(a , b , c are nonzero) is concurrent at (a) (2,3) (b) (1/2,1/3) (c) (-1/6,-5/9) (d) (2/3,-7/5)

If the straight lines x+y-2-0,2x-y+1=0 and a x+b y-c=0 are concurrent, then the family of lines 2a x+3b y+c=0(a , b , c) are nonzero) is concurrent at (a) (2,3) (b) (1/2,1/3) (c) (-1/6,-5/9) (d) (2/3,-7/5)

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (a) (1/2,1/2) (b) (1/3,1/3) (c) (0,0) (d) (1/4,1/4)

4 1/3-2 1/3= (a) 2 1/3 (b) 2 (c) 3 1/3 (d) 1/2

Plot the points A(4,1),B(-3,2),C(2,-3),D(-4,1),E(-4,-4) .

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is (a).0 (b) 1 (c) 2 (d) infinite

ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise For Session 3

Locus of the point of intersection of lines x cosalpha + y sin alpha =...
Text Solution
|
If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...
Text Solution
|
If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurre...
Text Solution
|
The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...
Text Solution
|
If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct ...
Text Solution
|
If u=a1x+b1y+c1=0,v=a2x+b2y+c2=0, and (a1)/(a2)=(b1)/(b2)=(c1)/(c2), t...
Text Solution
|
The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...
Text Solution
|
If the straight lines x+y-2=0,2x-y+1=0 and a x+b y-c=0 are concurrent,...
Text Solution
|
If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 a...
Text Solution
|
Find the equations of the line through the intersection of 2x - 3y + 4...
Text Solution
|
The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b...
Text Solution
|
The condition on aa n db , such that the portion of the line a x+b y-1...
Text Solution
|
If the lines (a-b-c) x + 2ay + 2a = 0 , 2bx + ( b- c - a) y + 2b = 0 a...
Text Solution
|
Prove that the lines ax+by + c = 0, bx+ cy + a = 0 and cx+ay+b=0 are ...
Text Solution
|
Find the equation of the straight line which passes through the inte...
Text Solution
|
Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will repr...
Text Solution
|
Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+...
Text Solution
|
Prove that (-a,-a/2) is the orthocentre of the triangle formed by the ...
Text Solution
|