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Column-I

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

 

 



Question ID - 55399 | SaraNextGen Top Answer

Column-I

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

 

 

1 Answer
127 votes
Answer Key / Explanation : (a) -

(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

127 votes


127