0

Guest

Courses New

find the equation of a tangent line to ellipse 9x^2+25y^2=225 at x=3

find the equation of a tangent line to ellipse 9x^2+25y^2=225 at x=3

Grade:12th pass

1 Answers

Rinkoo Gupta
askIITians Faculty 81 Points
9 years ago
put x=3 in eq. of the ellipse
9(9)+25y2=225
81+25y2=225
25y2=144
y2=144/25
y=12/5
so the touching point is (3,12/5)
eq. of the ellipse can be written as x2/25 +y2/9 =1
noq eq of the tangent to the ellipse at point (3,12/5) is
3x/25 +12y/45=1
27x+60y=225 Ans.
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

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