Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

find locus of middle point of normal chords of the parabola y^2=4x

find locus of middle point of normal chords of the parabola y^2=4x 

Grade:12

1 Answers

Vikas TU
14149 Points
3 years ago
 Condition of the typical harmony anytime (at2, 2at) of the parabola is 
y + tx = 2at + at3. … (1) 
Condition of the harmony with mid point (x1, y1) is T = S1 
or, on the other hand yy1 – 2a(x + x1) = y12 – 4ax1 or yy1 – 2ax = y12 – 2ax1. … (2) 
Since conditions (1) and (2) are indistinguishable, 1/y1 = t/(- 2a) = (2at + at3)/t = 2a + ((- 2a)/y1)2 
or, on the other hand - (y12)/2a + x1 = 2a + 4a3/(y12) or x1 – 2a = (y12)/2a + 4a3/(y12) 
Consequently the locus of the center point (x1, y1) is x – 2a = y2/2a + 4a3/y2 . 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free