The length of the chord of the parabola y2=x which is bisected at the point (2,1) is?


a)51/2     b)4*31/2     c)3*31/2     d)2*51/2

2 years ago

Share

Answers : (1)

                    

T = S1


y-0.5(x+2) = 1^2 - 2 = -1


 


2y - x - 2 = -2


or, x = 2y


 


Put in the equation,


 


y^2 = 2y


or, y = 0 , 2


x = 0, 4


Points where the line cuts the parabola = (0,0), (4,2)


 


Length = sqrt(4^2 + 2^2) = sqrt(16+4) = sqrt(20) = 2*sqrt(5)


 


Option (d)

2 years ago

Post Your Answer

More Questions On Analytical Geometry

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
Please explain how to identify the acute and obtuse angle bisectors using the angle bisectory formula.
 
 
if two lines are: L1 : a 1 x + b 1 y + c 1 = 0 L2 : a 2 x + b 2 y + c 2 = 0 then eqn of angle bisectors (a1x + b1y + c1) / {(a 1 ) 2 + (b 1 ) 2 } 1/2 = + - (a2x + b2y + c2) / {(a2)^2+...
  img
Ajay Verma 6 days ago
Find the distance of the point (0,2) from the straight line with slope 5 and passing through the point of intersection of x+2y=5 and x-3y=7. Find the equation of the straight line passing...
 
 
Hello student, the point of intersection of equations is(29/5,-2/5) given slope is 5 So eqn of line is y-y1=m(x-x1) y+2/5=5(x-29/5) 5x-5y-31=0 Distance from point (0,2) to above straight...
  img
SHAIK AASIF AHAMED one month ago
 
Hello student, the point of intersection of equations is(29/5,-2/5) given slope is 5 So eqn of line is y-y1=m(x-x1) y+2/5=5(x-29/5) Similarly you can solve the next question Thanks and...
  img
SHAIK AASIF AHAMED one month ago
How does find the slope of a circle. Please give me an easy method which works all the time. Thanks
 
 
Dear student, We know that atany pointP having the coordinates (x,y)on the unit circle satisfies the relation Hence, we get that Now we can use the usual parameterization of the circle, i.e....
  img
Sumit Majumdar 10 days ago
how to calculate sin11.29 degree
 
 
Use Log tables... (natural sines)
 
Utkarsh Verma 7 months ago
 
0.1957749
 
Utkarsh Verma 11 months ago
jh
 
 
what?
 
surya 25 days ago
A small block of mass m is kept at the left end of a larger block of mass M and length L. The system can slide on a horizontal road.The system is started towards right with an initial...
 
 
Hello Student, Let a1 and a2 be the accelerations of ma and M respectively. Here, a1 > a2 so that m moves on M it would be easiest if we see this in relative frame of M see in relative...
  img
Arun Kumar 22 days ago
View all Questions »