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
[ r1 – r ]/a + [r2 – r]/b =?
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 2 months ago
If the distance between circumcentre and orthocentre of triangle whose vertices are (1,5) (2,3) (4,4) is k/√10 then sum of abscissa of points which are k distance away from the point (3,2)...
 
 
A (1,5) B (2,3) C (4,4) AB= √5 units BC=√5 units AC= √10 units Hence given triangle is right angled triangle ( AB 2 + BC 2 = AC 2 ) at B Orthocenter is B only CIrcumcenter...
  img
Harsh Patodia 8 days ago
Show that the perpendiculars falling from any point of the st.line 2x+11y=5 upon the two st. lines 24x+7y=20 and 4x-3y=2 are equal to each other.
 
 
solution: given L1 :24x+7y=20 ; slope M1 = -24/7 L2 ;4x-3y=2 ; slope M2= 4/3 and L3 :2x+11y=5 ; slope M3= -2/11 ifperpendiculars falling from any point from the line L3 to L1 and L2 areequal...
  img
Ajay Verma one month ago
what is the periof of modulus of sin(x)cos(x)
 
 
Ans: Hello Student, Please find answer to your question below Period of f(x) = sin2x Since we are taking the modulus, then negatib=ve part of the graph will come on +ve side which is similar...
  img
Jitender Singh one month ago
 
period of sinx and cos x is 2pi modulus of sinx *cosx =2*sinxcosx/2 =2*modulus of sin2x period of sin2x=2pi/2=pi thus its period is pi
  img
Sunil Kumar FP one month ago
|z1=|z2|=|z3|=|1/z1+1/z2+1/z3|=1 then |z1+z2+z3|=?
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 2 months ago
what is a coplanar vector
 
 
Dear Sujit, First of all the word coplanar refers to two or more vectors. It is a relative term which is used to state the position of a vector with respect to other(s) vector(s) for...
 
Aniket Patra 2 years ago
 
Three Vectors a, b, c are said to be co- planar vectors if they all lie in the same plane.. in case of coplanar vectors; (axb).c = 0,, as (axb) gives a vector which is perpendicular to c,...
 
Pragyanand Rai 2 years ago
 
very simply, coplaner vectors are any vectors that all reside in the same plane.
 
G Ashwin - one year ago
View all Questions »