Question
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
Hint:
The point p should satisfy the line AP and BP then find the lines passing through AP and BP gives point of intersection which is nothing but P.
The correct answer is:
Given That:
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
>>> Given:∣PA−PB∣ is maximum.
>>> A line passes through P having the equation 4x+3y+9=0
>>> Maximum value of ∣PA−PB∣=∣AB∣
>>> Equation of the line AB=y−0=2−00−1(x−0)
⇒2y=−x or x+2y=0
>>> The intersection of the lines x=−2y and 4x+3y+9=0 is
4×−2y+3y+9=0
⇒−8y+3y=−9
⇒−5y=−9
⇒y=
∴x=−2y=−2×=
>>> Hence the point is (, ).
is maximum is=, ). Hence the point is (, ).
Related Questions to study
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:
P1,P2,P3, be the product of perpendiculars from (0,0) to 
respectively then:
P1 = 1;
P2 = 
;
P3 = 
;
>>> Therefore, we can say that P1>P2>P3.
P1,P2,P3, 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 x2 – 5xy + 6y2 + 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 x2 – 5xy + 6y2 + x – 3y = 0 is (-3, -1)
is
is:
