The line joining the points (2,\ 1) a...

The line joining the points `(2,\ 1)` and `(5,\ -8)` is trisected at the points `P` and `Q` . If point `P` lies on the line `2x-y+k=0` . Find the value of `k` .

Text Solution

AI Generated Solution

Topper's Solved these Questions

CONSTRUCTIONS
RD SHARMA ENGLISH|Exercise All Questions|32 Videos
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
RD SHARMA ENGLISH|Exercise All Questions|391 Videos

Similar Questions

Explore conceptually related problems

The line segment joining the points A(3,2) and B (5,1) is divided at the point P in the ratio 1 : 2 and it lies on the line 3x-18y+k=0 . Find the value of k.

The line segment joining the points P(3,3)a n dQ(6,-6) is trisected at the points A and B such that A is nearer to P. If A also lies on the line given by 2x+y+k=0, find the value of kdot

The line segment joining the points (3,\ -4) and (1,\ 2) is trisected at the points P and Q . If the coordinates of P and Q are (p ,\ -2) and (5//3,\ q) respectively. Find the values of p and q .

Point P divides the line segment joining the points A(2,1) and B(5,-8) such that (AP)/(AB)=1/3 . If P lies on the line 2x-y+k=0 , find the value of k.

Point P divides the line segment joining the points A(2,1)and B(5,-8) such that (AP)/(AB)=1/3. If P lies on the line 2x - y + k =0, find the value of k.

Point P divides the line segment joining the points A(-1,\ 3) and B(9,\ 8) such that (A P)/(B P)=k/1 . If P lies on the line x-y+2=0 , find the value of k .

Slope of the line joining the points (2,3) and (k,5) is 2,then k = _______

If the line joining the points (5,y) and (4,9) is parallel to the line joining the points (0,5) and (1,7) , find the value of y .

Point (x,4) lies on the line segment joining the points A (-5, 8) and B (4,-10) Find the ratio in which point P divides the line segment AB. Also find the value of x?

RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions

Determine the ratio in which the point (-6,\ a) divides the join...
Text Solution
|
The line segment joining the points (3,\ -4) and (1,\ 2) is tris...
Text Solution
|
The line joining the points (2,\ 1) and (5,\ -8) is trisected at...
Text Solution
|
If A and B are two points having coordinates (-2,\ -2) and (2,\ 4) r...
Text Solution
|
Find the coordinates of the points which divide the line segment joini...
Text Solution
|
A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of triangle A B C . ...
Text Solution
|
A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . Find th...
Text Solution
|
A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . Find th...
Text Solution
|
A B C D is a rectangle formed by joining the points A(-1,\ -1),\ \ ...
Text Solution
|
Show that A(-3,\ 2),\ \ B(-5,\ -5),\ \ C(2,\ -3) and D(4,\ 4) are the ...
Text Solution
|
Find the ratio in which the y-axis divides the line segment joining...
Text Solution
|
If the points A(6,\ 1),\ \ B(8,\ 2),\ \ C(9,\ 4) and D(k ,\ p) are ...
Text Solution
|
In what ratio does the point (-4,\ 6) divide the line segment jo...
Text Solution
|
Find the coordinates of a point A , here A B is a diameter of th...
Text Solution
|
Find the ratio in which the point P(-1,\ y) lying on the line se...
Text Solution
|
Points P ,\ Q ,\ R and S divide the line segment joining the points...
Text Solution
|
Find the ratio in which the point P(x ,\ 2) divides the line seg...
Text Solution
|
Find the ratio in which the line segment joining the points A(3,\ -...
Text Solution
|
Find the ratio in which the point P((3)/(4), (5)/(12)) divides the lin...
Text Solution
|
Find the coordinates of the centroid of a triangle whose vertices a...
Text Solution
|