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

what is the lenght of subtangent in the term of differential quotients of any general curve...

what is the lenght of subtangent in the term of differential quotients of any general curve...

Grade:12

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
5 years ago
Let tangent and normal to a parabola at a point P(x1,y1) be extended to meet the axis of the parabola at N and T respectively.

PT is termed the length of the tangent.
PN is termed the length of the normal.

Drop a perpendicular to the axis from the point P and call it PP'.

P' T = subtangent
P’ N = subnormal

If the tangent makes an angle of ψ with the axis


length of the subtangent = y1 cot ψ = y1/(dy/dx)

dy/dx =tan ψ = 2a/y1 = m (slope of the tangent)
228-1833_123.PNG

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