Question

# Assertion (A): The lines represented by and x+ y=2 do not form a triangle

Reason (R): The above three lines concur at (1,1)

- Both A and R are true and R is the correct explanation A
- Both A and R are true but R is not the correct explanation of A
- A is true but R is false
- A is false but R is true

Hint:

### Find the point of intersection of the given straight lines. If they do not have common point of intersection then, we can say that the given straight lines form a triangle.

## The correct answer is: Both A and R are true and R is the correct explanation A

### Given That:

Assertion (A): The lines represented by and x+ y=2 do not form a triangle

Reason (R): The above three lines concur at (1,1)

>>> Let us say that the given statements are true, Then:

>>> The given lines should pass through the point of concurrency(1,1).

>>> Therefore:

3+10+3-16-16+16=0

0=0

>>> Similarly, x + y = 2

1 + 1 = 2

2 = 2.

>>> Therefore, all the three lines satisfies the given point.

>>> Hence, we can clearly say that the given straight lines never form a triangle since they all have a common intersection point.

Both Assertion and Reason are correct and the Reason is the correct explanation of Assertion.

### Related Questions to study

### In Bohr’s hydrogen atom, the electronic transition emitting light of longest wavelength is:

### In Bohr’s hydrogen atom, the electronic transition emitting light of longest wavelength is:

### P_{1},P_{2},P_{3}, be the product of perpendiculars from (0,0) to respectively then:

P1 = 1;

P2 = ;

P3 = ;

>>> Therefore, we can say that P1>P2>P3.

### P_{1},P_{2},P_{3}, be the product of perpendiculars from (0,0) to respectively then:

P1 = 1;

P2 = ;

P3 = ;

>>> Therefore, we can say that P1>P2>P3.

### If θ is angle between pair of lines , then

>>> = 2.

>>> tan =

>>> = 10.

### If θ is angle between pair of lines , then

>>> = 2.

>>> tan =

>>> = 10.

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

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

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

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

### 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

### If the lines and are concurrent then λ

>>> The value of is 2.

### If the lines and are concurrent then λ

>>> The value of is 2.

### 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

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

### 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)