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Column-I

Column- II

(A)

The value  for which  is the equation of a pair of straight lines is

(p)

3

(B)

If the sum of the slopes of the lines given by  is four times their product, then the value of  is

(q)

(C)

If the gradient of one of the lines  is twice that of the other, then

(r)

2

(D)

If the lines  are equally inclined to the lines , then the value of  can be

(s)

4

CODES :

 

A

B

C

D

 

 

a)

S,r

p,q

p,q,r,s

t

 

 

b)

p,q

r,s

t

q

 

 

c)

p,q,r,s

p

s

t

 

 

d)

s

r

p,q

p,q,r,s

 

 



Question ID - 54549 | SaraNextGen Top Answer

Column-I

Column- II

(A)

The value  for which  is the equation of a pair of straight lines is

(p)

3

(B)

If the sum of the slopes of the lines given by  is four times their product, then the value of  is

(q)

(C)

If the gradient of one of the lines  is twice that of the other, then

(r)

2

(D)

If the lines  are equally inclined to the lines , then the value of  can be

(s)

4

CODES :

 

A

B

C

D

 

 

a)

S,r

p,q

p,q,r,s

t

 

 

b)

p,q

r,s

t

q

 

 

c)

p,q,r,s

p

s

t

 

 

d)

s

r

p,q

p,q,r,s

 

 

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

(d)

1. The equation  represents a pair of straight lines if

2.

3. Let  be the slopes of the lines . Then,

But    (given). Therefore,

  and   ,

i.e., . Also,

4. Equation of the bisectors of the angle between the lines  is

or 

Which is same as the equation of the bisector of angles between the lines

Thus, the two line pairs are equally inclined to each other for any value of

127 votes


127