Column-I |
Column- II |
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(A) |
The value for which is the equation of a pair of straight lines is |
(p) |
3 |
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(B) |
If the sum of the slopes of the lines given by is four times their product, then the value of is |
(q) |
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(C) |
If the gradient of one of the lines is twice that of the other, then |
(r) |
2 |
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(D) |
If the lines are equally inclined to the lines , then the value of can be |
(s) |
4 |
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CODES : |
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|
A |
B |
C |
D |
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a) |
S,r |
p,q |
p,q,r,s |
t |
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b) |
p,q |
r,s |
t |
q |
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c) |
p,q,r,s |
p |
s |
t |
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d) |
s |
r |
p,q |
p,q,r,s |
|
|
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 |
|
|
(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