Question

#Quality Question

@Coordinate Geometry

Q》》
If the angle of intersection at a point where the two circles with radii 5cm and 12cm intersect is 90°, then the length of their common chord is :​

Answer 1

Answer:

120/13

Step-by-step explanation:

Let length of common chord =2x

25−x

2

+

144−x

2

=13

after solving

x=

13

12×5

2x=

13

120

.

Answer 2

Answer:

$\tt {\green{Let \: length \: of \: common \: chord =2x \sqrt{25 - {x}^{2} } + \sqrt{155 - {x}^{2} } = 13}}$

After Solving This

$\huge{ \pink{ \color{magneta}{x ={ \frac{12 \times 5}{ 13}}}}}</p><p></p><p></p><p>$

$\color{cyan} \huge2x = \frac{120}{13}$

.