Question

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

- x-y+1=0
- x-y+2=0
- x=y
- y=x-1

Hint:

### Find the intersection point and choose option that satisfy the point of intersection.

## The correct answer is: x=y

### Given That:

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

>>> The point of intersection of the pair of straight lines becomes:

p(x, y) =

=

=

=

>>> Therefore, the point of intersection becomes:

p(x, y) = (3,3)

>>> Therefore, we can say that x=y.

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

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

### Related Questions to study

### 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

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

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

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

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

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

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

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

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

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

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

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

### 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

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

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

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

## $>>> ⇒X2+Y2=r2$

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

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

### 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

>>> Therefore, the equation becomes =1.

### 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)

### The angle of rotation of axes to remove xy term of the equation is

## Angle of rotation will be $45 degrees.$

### The angle of rotation of axes to remove xy term of the equation is

## Angle of rotation will be $45 degrees.$

### The angle of rotation of axes in order to eliminate xy term of the equation is

The Angle of rotation becomes

### The angle of rotation of axes in order to eliminate xy term of the equation is

The Angle of rotation becomes

### If the axes are rotated through an angle 45° in the anti-clockwise direction, the coordinates of in the new system are

The point () becomes (2,0) after rotation through 45 degrees in anti clockwise direction.

### If the axes are rotated through an angle 45° in the anti-clockwise direction, the coordinates of in the new system are

The point () becomes (2,0) after rotation through 45 degrees in anti clockwise direction.

### If the axes are rotated through an angle of 45° and the point p has new co-ordinates then original coordinates of p are

>>> Therefore, the original point is (3,1).

### If the axes are rotated through an angle of 45° and the point p has new co-ordinates then original coordinates of p are

>>> Therefore, the original point is (3,1).

### Assertion (A) : If the area of triangle formed by (0,0),(-1,2),(1,2) is 2 square units. Then the area triangle on shifting the origin to a point (2,3) is 2 units.

Reason (R):By the change of axes area does not change

Choose the correct answer

Both assertion and reason are correct and the reason is correct explanation of assertion.

### Assertion (A) : If the area of triangle formed by (0,0),(-1,2),(1,2) is 2 square units. Then the area triangle on shifting the origin to a point (2,3) is 2 units.

Reason (R):By the change of axes area does not change

Choose the correct answer

Both assertion and reason are correct and the reason is correct explanation of assertion.