मराठी

If the Point C(K,4) Divides the Join of A(2,6) and B(5,1) in the Ratio 2:3 Then Find the Value of K.

Advertisements
Advertisements

प्रश्न

If the point C(k,4) divides the join of A(2,6) and B(5,1) in the ratio 2:3 then find the value of k. 

Advertisements

उत्तर

Here, the point C(k,4)  divides the join of A(2,6)  and  B(5,1)  in ratio 2:3. So

`k = (2xx5+3xx2)/(2+3)`

`=(10+6)/5`

`=16/5`

Hence , `k = 16/5`.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Coordinate Geometry - Exercises 4

APPEARS IN

आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 6 Coordinate Geometry
Exercises 4 | Q 8

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

How will you describe the position of a table lamp on your study table to another person?


Find the points of trisection of the line segment joining the points:

5, −6 and (−7, 5),


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


If the points A (a, -11), B (5, b), C (2, 15) and D (1, 1) are the vertices of a parallelogram ABCD, find the values of a and b.


Determine the ratio in which the point (-6, a) divides the join of A (-3, 1)  and B (-8, 9). Also, find the value of a.


`"Find the ratio in which the poin "p (3/4 , 5/12) " divides the line segment joining the points "A (1/2,3/2) and B (2,-5).`


Find the ratio in which the point (−3, k) divides the line-segment joining the points (−5, −4) and (−2, 3). Also find the value of k ?


Show that `square` ABCD formed by the vertices A(-4,-7), B(-1,2), C(8,5) and D(5,-4) is a rhombus.


Show that the points (−4, −1), (−2, −4) (4, 0) and (2, 3) are the vertices points of a rectangle.


If the point  \[C \left( - 1, 2 \right)\] divides internally the line segment joining the points  A (2, 5)  and Bx) in the ratio 3 : 4 , find the value of x2 + y2 .

 

Find the value of k, if the points A (8, 1) B(3, −4) and C(2, k) are collinear.

 

If the points A(1, –2), B(2, 3) C(a, 2) and D(– 4, –3) form a parallelogram, find the value of a and height of the parallelogram taking AB as base.  


What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?

 

If the centroid of the triangle formed by points P (a, b), Q(b, c) and R (c, a) is at the origin, what is the value of a + b + c?


 what is the value of  \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\] .

 


If the mid-point of the segment joining A (xy + 1) and B (x + 1, y + 2) is C \[\left( \frac{3}{2}, \frac{5}{2} \right)\] , find xy.

 

 
 

If the distance between the points (3, 0) and (0, y) is 5 units and y is positive. then what is the value of y?


If (−1, 2), (2, −1) and (3, 1) are any three vertices of a parallelogram, then


The line segment joining points (−3, −4), and (1, −2) is divided by y-axis in the ratio. 


The coordinates of the fourth vertex of the rectangle formed by the points (0, 0), (2, 0), (0, 3) are


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×