0

Guest

Courses New

Find pole of line lx+my+n=0 wrt parabola y²=4ax .1.n/l,2am/l2.n/l,-2am/l3.-n/l,2am/l4.-n/l,-2am/l

Find pole of line lx+my+n=0 wrt parabola y²=4ax .1.n/l,2am/l2.n/l,-2am/l3.-n/l,2am/l4.-n/l,-2am/l

Grade:

1 Answers

Samyak Jain
333 Points
4 years ago
To find : Pole of line lx+my+n=0 wrt parabola y²=4ax.Sol. Let the pole be (p, q).Equation of polar of (p, q) wrt y²=4ax is T = 0, which isqy = 4a(x + p)/2 i.e. 2ax – qy + 2ap = 0 ....(1)Given eqn of polar is lx+my+n=0. ....(2)Comparing (1) & (2), we get2a = l , –qy = m , 2ap =nSo, lp = n i.e. p = n/lq = –m = –m (l/l) = –m(2a)/lThus, the pole is (n/l,-2am/l)

Think You Can Provide A Better Answer ?

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

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More