Maths-

General

Easy

Question

# If θ is angle between pair of lines , then

- 10
- 20
- 5
- 15

Hint:

### First find the coefficient of y square and then obtain the angle between the pair of straight lines.

## The correct answer is: 10

### Given That:

If θ is angle between pair of lines , then

>>> We first need to find the value of

>>> Since, it is a pair of straight lines. Then, the determinant should be equal to zero.

>>>

>>> This gives = 2.

>>> Therefore, now the angle between the pair of straight lines becomes:

tan =

tan =

>> We know that

^{}

>>> Therefore,

= 10.

>>>> Therefore, the value of is 10.

>>> = 2.

>>> tan =

>>> = 10.

### Related Questions to study

Maths-

### If the pair of lines intersect on the x-axis, then 2fgh=

$2fgh=bg2+ch2$

### If the pair of lines intersect on the x-axis, then 2fgh=

Maths-General

$2fgh=bg2+ch2$

Maths-

### If the pair of lines intersect on the x-axis, then ac=

### If the pair of lines intersect on the x-axis, then ac=

Maths-General

maths-

### If the equation represents a pair of perpendicular lines then its point of intersection is

### If the equation represents a pair of perpendicular lines then its point of intersection is

maths-General

Maths-

### If the lines and are concurrent then λ

>>> The value of is 2.

### If the lines and are concurrent then λ

Maths-General

>>> The value of is 2.

Maths-

### The equation of the line concurrent with the pair of lines is

Hence, x=y is the the line that is concurrent with the pair of straight lines.

### The equation of the line concurrent with the pair of lines is

Maths-General

Hence, x=y is the the line that is concurrent with the pair of straight lines.

Maths-

### If the equation represents a pair of straight lines then their point of intersection is

>>>The point of intersection of the pair of straight lines x^{2} – 5xy + 6y^{2} + x – 3y = 0 is (-3, -1)

### If the equation represents a pair of straight lines then their point of intersection is

Maths-General

>>>The point of intersection of the pair of straight lines x^{2} – 5xy + 6y^{2} + x – 3y = 0 is (-3, -1)

maths-

### The point of intersection of the perpendicular lines is

### The point of intersection of the perpendicular lines is

maths-General

chemistry-

### In the structure the configurations at chiral centers are:

### In the structure the configurations at chiral centers are:

chemistry-General

chemistry-

### Which of the following compound are meso forms?

### Which of the following compound are meso forms?

chemistry-General

chemistry-

### The number of enantiomers of the compound is:

### The number of enantiomers of the compound is:

chemistry-General

chemistry-

### Following stereo-structure of tartaric acid represents:

### Following stereo-structure of tartaric acid represents:

chemistry-General

Maths-

### The transformed equation of when the axes are rotated through an angle 36° is

## >>> Given equation is $x2+y2=r2.$ After rotation

## $>>> x=Xcos36_{∘}−Ysin36_{∘}$and $y=Xsin36_{o}+Ycos36_{∘}$

## $∴X2(cos_{2}36_{o}+sin_{2}36_{o})+Y2(sin_{2}36_{o}+cos_{2}36_{o})=r2$

## $>>> ⇒X2+Y2=r2$

### The transformed equation of when the axes are rotated through an angle 36° is

Maths-General

## >>> Given equation is $x2+y2=r2.$ After rotation

## $>>> x=Xcos36_{∘}−Ysin36_{∘}$and $y=Xsin36_{o}+Ycos36_{∘}$

## $∴X2(cos_{2}36_{o}+sin_{2}36_{o})+Y2(sin_{2}36_{o}+cos_{2}36_{o})=r2$

## $>>> ⇒X2+Y2=r2$

maths-

### When axes rotated an angle of the transformed form of is

### When axes rotated an angle of the transformed form of is

maths-General

Maths-

### The transformed equation of when the axes are rotated through an angle 90° is

>>> Therefore, the equation becomes =1.

### The transformed equation of when the axes are rotated through an angle 90° is

Maths-General

>>> Therefore, the equation becomes =1.

maths-

### The arrangement of the following in ascending order of angle to eliminate xy term in the following equations

A)

B)

C)

### The arrangement of the following in ascending order of angle to eliminate xy term in the following equations

A)

B)

C)

maths-General