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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

3 years ago

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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)

3 years ago

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Did chord of contact and polar from a point P represent same line???
 
 
Ya but both have their own meaning and signifince anys both are s 1
 
Nicho priyatham 2 months ago
 
YES POLAR FROM POINT P AND CHORD OF CONTACT WILL BE SAME LINE
 
mohit vashishtha 2 months ago
find orthocenter of triangle A(2^(1/2) 3) B(3,3) C(5^(1/2),6) where circumcenter is (0,0)
 
 
Pl. check this problem. The circumcentre for the given triangle cannot be (0,0). Also, for finding orthocentre, circumcentre is not required.
 
Y RAJYALAKSHMI one year ago
please discuss the concept of enclined parabola in detail
 
 
please u just visit the link http://www.askiitians.com/iit-jee-coordinate-geometry/parabola.aspx this will clear allof ur doughts ….….…...PLEASE ..... if u like my answer and my answer is...
 
Gayatri Jayesh Bondriya one month ago
∫1/sqrt[a^3-x^3]
 
 
resolve into (a-x)(a^2+x^2+ax) ,then use partial fractions.
 
sarim khan 7 months ago
 
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Vijay Mukati 2 months ago
 
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ng29 2 months ago
 
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Nishant Vora one month ago
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