Concurrency of Straightlines Worksheet





In this page concurrency of straightlines worksheet we are going to see solution of first question on the quiz concurrency of straight lines.

Definition:

If three or more straight lines passing through the same point then that common point is called the point of concurrency

Steps to find whether the three given lines are concurrent:

(i) Solve any two equations of the straight lines and obtain their point of intersection.

(ii) Substitute the co-ordinates of the point of intersection in the third equation.

(iii) Check whether the third equation is satisfied

(iv) If it is satisfied,the point lies on the third line and so the three straight lines are concurrent.  

Question 1:

Show that the straight lines 2 x + y - 1 = 0,2 x + 3 y - 3 = 0 and

3 x + 2 y - 2 = 0 are concurrent.Find the point of concurrency.



(A) (0 , 8)
(B) (0 , 1)
(C) (2 , 2)




Question 2:

Show that the straight lines x + y - 5 = 0, 3 x - y + 1 = 0 and 5 x - y - 1 = 0 are concurrent.Find the point of concurrency.

concurrency of straightlines worksheet concurrency of straightlines worksheet 

concurrency of straightlines worksheet concurrency of straightlines worksheet



(A) (1 , 4)
(B) (2 , 1)
(C) (2 , 0)




Question 3:

Show that the straight lines x - y - 2 = 0, 3 x + 4 y + 15 = 0 and

5 x - 4 y - 7 = 0 are concurrent.Find the point of concurrency.



(A) (-1 , -4)
(B) (-2 , -1)
(C) (-1 , -3)




Question 4:

Show that the straight lines x - 3 y + 3 = 0, 2 x + y - 8 = 0 and

5 x - 4 y - 7 = 0 are concurrent.Find the point of concurrency.



(A) (3 , 2)
(B) (3 , 0)
(C) (1 , 0)




Question 5:


Show that the straight lines x + y - 7 = 0, 2 x + y - 16 = 0 and

3 x + 8 y - 11 = 0 are concurrent.Find the point of concurrency.



(A) (9 , -2)
(B) (8 , 6)
(C) (2 , -8)




Question 6:

Show that the straight lines x + y - 3 = 0, x + 2 y - 5 = 0 and

x + 3 y - 7 = 0 are concurrent.Find the point of concurrency.



(A) (5 , -1)
(B) (1 , 2)
(C) (3 , 0)




Question 7:

Show that the straight lines 3 x + y + 2 = 0, 2 x - y + 3 = 0 and

x + 4 y - 3 = 0 are concurrent.Find the point of concurrency.



(A) (3 , -1)
(B) (2 , -2)
(C) (-1 , 1)




Question 8:

Show that the straight lines 3 x - 4 y + 5 = 0, 7 x - 8 y + 5 = 0 and

4 x + 5 y - 45 = 0 are concurrent.Find the point of concurrency.



(A) (3 , 3)
(B) (5 , 5)
(C) (1 , 1)




Question 9:

Show that the straight lines x + y - 3 = 0, 3 x + 2 y + 1 = 0 and

5 x + 3 y + 5 = 0 are concurrent.Find the point of concurrency.



(A) (3 , -8)
(B) (5 , 10)
(C) (-7 , 10)




Question 10:

Show that the straight lines y - x - 1 = 0, 2 x + y + 2 = 0 and

5 x + 3 y + 5 = 0 are concurrent.Find the point of concurrency.



(A) (-3 , 5)
(B) (-7 , 10)
(C) (2 , 9)



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