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Mathematics
Mathematics
Problem
If any tangent to the ellipse
x
2
a
2
+
y
2
b
2
=
1
\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1
a
2
x
2
+
b
2
y
2
=
1
cuts off intercepts of length
h
h
h
and
k
k
k
on the axes, then
a
2
h
2
+
b
2
k
2
\frac{a^2}{h^2} + \frac{b^2}{k^2}
h
2
a
2
+
k
2
b
2
is equal to a.
−
1
-1
−
1
b. 0 c. 1 d. None of these
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