ColumnI 
Column II 

(A) 
Two vertices of a triangle are and . If orthocentre of the third vertex are 
(p) 

(B) 
A point on the line which lies at a unit distance from the line is 
(q) 

(C) 
Orthocentre of the triangle formed by the lines is 
(r) 

(D) 
If are in A.P., then lines are concurrent at 
(s) 

CODES : 


A 
B 
C 
D 



a) 
P 
q 
s 
r 



b) 
t 
r 
s 
p 



c) 
q 
p 
r 
t 



d) 
s 
p 
q 
r 


ColumnI 
Column II 

(A) 
Two vertices of a triangle are and . If orthocentre of the third vertex are 
(p) 

(B) 
A point on the line which lies at a unit distance from the line is 
(q) 

(C) 
Orthocentre of the triangle formed by the lines is 
(r) 

(D) 
If are in A.P., then lines are concurrent at 
(s) 

CODES : 


A 
B 
C 
D 



a) 
P 
q 
s 
r 



b) 
t 
r 
s 
p 



c) 
q 
p 
r 
t 



d) 
s 
p 
q 
r 


(a)
1.
(i)
(ii)
Hence, point, is
1. (i)
(ii)
Let be the point on (i). Then,
Hence, the required point is either (3, 1) or
2. Since lines and are perpendicular, orthocentre of the triangle is the point of intersection of these lines, i.e,
3. Since, are in A.P., so
Comparing with the line , we have and . Hence, lines are concurrent at
ColumnI 
Column II 

(A) 
If lines and are concurrent, then value of is 
(p) 

(B) 
If the points and are collinear, then the value of is 
(q) 

(C) 
If line , passing through the intersection of and , is perpendicular to one of them, then the value of is 
(r) 
4 

(D) 
If line is equidistant from the points and (3, 4) then is 
(s) 
2 

CODES : 


A 
B 
C 
D 



a) 
P,q 
q 
s,t 
r 



b) 
s,p 
q,r 
t 
q 



c) 
s 
t,s 
q 
p,q 



d) 
p,s 
q,s 
p,r 
s 


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