If the line 2x+y=k passes through the po...

If the line `2x+y=k` passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio ` 3:2` then k-equals.

A

`29/5`

B

5

C

6

D

`11/5`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

THE STRAIGHT LINES
ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos
THE STRAIGHT LINES
ARIHANT MATHS|Exercise The Straight Lines Exercise 7 : (Subjective Type Questions)|4 Videos
SETS, RELATIONS AND FUNCTIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
THEORY OF EQUATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the point which divides the line segment joining the points A(5,-2) and B(9,6) in the ratio 3:1

Find the co-ordinates of the point, which divides the line segment joining the points (5, 4, 2) and (-1, -2, 4) in the ratio : 2:3 .

Find the co-ordinates of the point which divides the line segment joining the points (-2,3,5) and (1,-4,6) in the ratio. 2 : 3 Internally

Find the coordinates of the point which divides the line segment joining ihe points (4,-3) and (8, 5) in the ratio 3 : 1 internally.

Find the co-ordinates of the point which divides the line segment joining the points (-2,3,5) and (1,-4,6) in the ratio. 2 : 3 externally.

Find the coordinates of the point which divides the line segment joining the points (- 2, 3, 5) and (1,-4, 6) in the ratio (i) 2 : 3 internally, (ii) 2 : 3 externally.

Find the co-ordinates of the point A which divides the line segment joining :- P (- 7, 2) and Q (-1,-1) in the ratio 4 : 1.

Find the co-ordinates of the point A which divides the line segment joining :- P (5,- 2) and Q (9, 6) in the ratio 3 : 1.

In what ratio does the x-axis divide the line segment joining the points (2,-3) and (5, 6)?

Find the ratio in which (-6,a) divides the line segment joining the points (-3,1) and (-8,9). Also find the value of a.

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)

The line parallel to the x-axis and passing through the intersection o...
Text Solution
|
A straight line through the point A (3,4) is such that its intercept b...
Text Solution
|
If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...
Text Solution
|
The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...
Text Solution
|
Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points". T...
Text Solution
|
The perpendicular bisector of the line segment joining P (1, 4) and...
Text Solution
|
The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...
Text Solution
|
The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...
Text Solution
|
A straight line L through the point (3,-2) is inclined at an angle 60^...
Text Solution
|
The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...
Text Solution
|
If the line 2x+y=k passes through the point which divides the line seg...
Text Solution
|
A ray of light along x+sqrt(3) y = sqrt(3) gets reflected upon reachin...
Text Solution
|
For a gt b gt c gt 0, the distance between (1, 1) and the point of int...
Text Solution
|
Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...
Text Solution
|
Let a, b, c and d be non-zero numbers. If the point of intersection of...
Text Solution
|
For a point P in the plane, let d(1)(P) " and " d(2)(P) be the distanc...
Text Solution
|
The number of points, having both co-ordinates as integers, that lie i...
Text Solution
|
Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...
Text Solution
|