SaraNextGen.Com

Statement 1:

If   are variable such that , then the family of lines given by  pass through a fixed point (3, 2)

Statement 2:

The equation  will represent a family of straight the passing through a fixed point iff there exists a relation between

a)

Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

b)

Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

c)

Statement 1 is True, Statement 2 is False

d)

Statement 1 is False, Statement 2 is True



Question ID - 54527 | SaraNextGen Top Answer

Statement 1:

If   are variable such that , then the family of lines given by  pass through a fixed point (3, 2)

Statement 2:

The equation  will represent a family of straight the passing through a fixed point iff there exists a relation between

a)

Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

b)

Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

c)

Statement 1 is True, Statement 2 is False

d)

Statement 1 is False, Statement 2 is True

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

(d)

First, let the equation  represent a family of straight lines passing through  for different values of  and

Then, we have to show that there is a linear relation between  and  and have to prove that the equation represent a family of lines passing through a fixed point. Let the linear relation be

 always passes through a fixed point

and represents a system of concurrent lines passing through

Thus, statement I is false and II is true

127 votes


127