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

The condition that lx+my+c=0 maybe a normal to the parabola with related example

The condition that lx+my+c=0 maybe a normal to the parabola with related example
 

Grade:12

1 Answers

Arun
25763 Points
2 years ago
the condition of the given parabola is y2=4ax 
the condition of the ordinary to the given parabola is y+tx=2at+at3 
i.e. tx+y−(2at+at3)=0 ........(1) 
the condition (1) and the given condition of the ordinary lx+my+n=0 ...........(2) speak to a similar line: 
subsequently 
t/l=1/m=−(2at+at3)/n 
t/l=1/m⇒t=l/m ........(3) 
furthermore, 1/m=−(2at+at3)n 
−n/m=2at+at3 
−n/m=2a.(l/m)+a.(l/m)3 [ substituting the estimation of t from eq(3)] 
−n/m=2a.l/m+a.(l/m)3 
⇒−n.m2=2a.lm2+a.l3 
⇒a.l3+2alm2+nm2=0 

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