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Last Updated On [03-11-2023]

If the pairs of lines  and  have exactly one line in common, then the joint equation of the other two lines is given by

a)

b)

c)

d)


Question ID - 52928 :-

If the pairs of lines  and  have exactly one line in common, then the joint equation of the other two lines is given by

a)

b)

c)

d)

1 Answer
5876 Votes
3537

Answer Key : (b) -

(b)

Let  be a line common to the given pairs of lines. Then

 and

  and 

 or

But for , the two pairs have both the lines common. So  and the slope  of the line common to both the pairs is 1. Now,

and

so the equation of the required lines is



Next Question :

If two vertices of a triangle are  and , orthocentre lies at the origin and centroid on the line , then the third vertex lies at

a)

(7, 4)

b)

(8, 14)

c)

(12, 21)

d)

None of these


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