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The area of the triangle formed by the tangent at the point to the circle and the…
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
The area of the triangle formed by the tangent at the point
(
a
,
b
)
(a, b)
(
a
,
b
)
to the circle
x
2
+
y
2
=
r
2
x^2 + y^2 = r^2
x
2
+
y
2
=
r
2
and the coordinate axes is (1)
r
4
2
a
b
\frac{r^4}{2ab}
2
ab
r
4
(2)
r
4
2
∣
a
b
∣
\frac{r^4}{2|ab|}
2∣
ab
∣
r
4
(3)
r
4
a
b
\frac{r^4}{ab}
ab
r
4
(4)
r
4
∣
a
b
∣
\frac{r^4}{|ab|}
∣
ab
∣
r
4
Related theory
Circle (Standard Equation)
Conic Sections
Circles
Coordinate Geometry
Tangent to a Circle
Tangent length properties
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