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
find eqn. of a line passing through intersectin of lines x+y+1=0 and 2x-3y-1=0 and passing through (1,1) whose slope is 2 units
 
 
this question is to be done by done by the method of family of lines. so,by this method-(x+y+1)+lambda(2x-3y-1)=0 now x=--2/5 and y=--3/5 are the solutions of the equation x+y+1 =0 and...
 
vineet chatterjee 3 months ago
Let ABCD is a square whose two vertices A and D lie on positive x-axis and positive y-axis respectively.If the co-ordinate of C is(15,19),then the co-ordinate of B are: 1....
 
 
Ans: (19, 4) Sol: Let the coordinates of A, B & D be: Equate the sides of the square: Equating diagonals of square: After solving all the equations, you would find Thanks & Regards...
  img
Jitender Singh 4 months ago
if lengt of sides of a triangle are 8cm 12cm and 16cm then find the length of altitude corresponding to the longest side options 1] 3/4ur15 2] 3/2ur15 ur= underoot
 
 
Op 2 using cosine rule u get cos of angle b/w sides 12 and 16 as =7/8 then use trignmtry to get the answer
 
gajanana hegde 10 months ago
A unit vector in xy-plane that makes an angle of 45(degree) with the vector i(cap)+j(cap) and an angle of tan(inverse)(4/5) with the vector 3(icap)-4(jcap) is...
 
 
The vector in xy plane is ai + bj Since it is a unit vector we have a^2 + b^2 = 1 -------- (1) The angle made by the vector ai + bj & i + j cos 45 = (a*1 + b*1)/sq root(a^2 + b^2) * sq root...
 
Y RAJYALAKSHMI 3 months ago
 
I did not write (cap) for vector so that we do not get confused with thest signs. ^ means square ----- a^ 2 means ‘a square’ * means multiplication ------ a * 1 means ‘ a multiplied by 1’
 
Y RAJYALAKSHMI 3 months ago
 
Sir, Thankyou for your Reply but sir i. a^2 + b^2 = 1 ii.1^2 + 1^2 iii. a*1 + b*1 what is this stand for I dont know...means its 2ai(cap) or something else...
 
Pritesh 3 months ago
Associated angle means in Solution of triangle?
 
 
Hello Student, if we consider angle A then associated side is a similarly if we consider angle B then associated side is b Area of a triangle so this is how associated angle works. Thanks...
  img
Arun Kumar 3 months ago
what is a scalar vector
 
 
Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction. A related...
  img
Saurabh Singh 8 months ago
 
Scalar Quantities Most of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical...
 
Indu 8 months ago
 
which has only magnitude
 
raju 8 months ago
View all Questions »