Question

# If the point lies between the region corresponding to the acute angle between the lines x-3y=0 and x-6y=0 then

- None of these

Hint:

### If a point lies inside an acute angle of two lines. Then, the product of their values should be less than zero.

## The correct answer is: None of these

### Given That:

If the point lies between the region corresponding to the acute angle between the lines x-3y=0 and x-6y=0 then

>>> We know that when the point lies in between the lines then product of their values should be less than 0.

>>> L11L22 <0.

>>> L11 becomes (1+cos)-3(sin)

>>> L22 becomes (1+cos)-6(sin)

>>> Therefore:

L11 L22 <0

( (1+cos)-3(sin))((1+cos)-6(sin))<0

(1+cos)^{2} -6sin -6sincos -3sin-3sincos+18sin^{2} < 0

>>> Therefore, evaluate for .

>>> L11 L22 <0

>>> (1+cos)^{2} -6sin -6sincos -3sin-3sincos+18sin^{2} < 0

### Related Questions to study

### If be any point on a line then the range of for which the point ' P ' lies between the parallel lines x+2y=1 and 2x+4y=15 is

((1+)+2() -1).() < 0

### If be any point on a line then the range of for which the point ' P ' lies between the parallel lines x+2y=1 and 2x+4y=15 is

((1+)+2() -1).() < 0

### is any point in the interior of the quadrilateral formed by the pair of lines and the two lines 2x+y-2=0 and 4x+5y=20 then the possible number of positions of the points ' P ' is

### is any point in the interior of the quadrilateral formed by the pair of lines and the two lines 2x+y-2=0 and 4x+5y=20 then the possible number of positions of the points ' P ' is

### If the point ,lies in the region corresponding to the acute angle between the lines 2y=x and 4y=x then - .....

u ≡ x - 2y = 0 and v ≡ x - 4y = 0

>>> S(x, y) ≡ x² - 6xy + 8y² = 0

>>> ( a - 2 )( a - 4 ) < 0

### If the point ,lies in the region corresponding to the acute angle between the lines 2y=x and 4y=x then - .....

u ≡ x - 2y = 0 and v ≡ x - 4y = 0

>>> S(x, y) ≡ x² - 6xy + 8y² = 0

>>> ( a - 2 )( a - 4 ) < 0

### Consider A(0,1) and B(2,0) and P be a point on the line 4x+3y+9=0, co-ordinates of P such is maximum is

Hence the point is (, ).

### Consider A(0,1) and B(2,0) and P be a point on the line 4x+3y+9=0, co-ordinates of P such is maximum is

Hence the point is (, ).

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

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

### 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)