Grade 11Algebra
Prove that line y= x+√7/12 is the tangent of ellipse 3x^2 +4y^2= 1.
1 Answer
Arun
Dear Student
for provng tangency we have to prove
c2 = a2* m2 + b2
Now
ellipse:
x^2 / (1/3) + y^2 / (1/4) = 1
a2 =1/3
b2 = ¼
now RHS
a2* m2 + b2
= 1/3 * 1 + ¼
= 1/3 + ¼
= 7/12
= c2
= LHS
Hence proved
It will be a tanget to the given ellipse
Regards
Arun (askIITians forum expert)
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