If the angle of intersection at a point...

If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is `90^(@)`, then the length (in cm) of their common chord is

`(13)/(5)`

`(120)/(13)`

`(60)/(13)`

`(13)/(2)`

Text Solution

AI Generated Solution

To find the length of the common chord of two intersecting circles with radii 5 cm and 12 cm, where the angle of intersection is 90 degrees, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Information:** - Radius of Circle 1 (C1): \( r_1 = 12 \) cm - Radius of Circle 2 (C2): \( r_2 = 5 \) cm - Angle of intersection at point A: \( \angle C1AC2 = 90^\circ \) ...

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The distance between the centre of two circles having radii 5 cm and 6 cm is sqrt(10) cm. find the length (in cm) of direct common tangent.

The distance between the centres of two circles having radii 5 cm and 6 cm is 10 cm. Find the length (in cm) of direct common tangent.

Two circles of radii r_(1),r_(2) intersect orthogonally. The length of their common chord is :

`(2r_(1)r_(2))/(sqrt(r_(1)^(2)+r_(2)^(2)))`

`(r_(1)r_(2))/(sqrt(r_(1)^(2)+r_(2)^(2)))`

`(2r_(1)^(2)r_(2))/(sqrt(r_(1)^(2)+r_(2)^(2)))`

`(2r_(2)^(2)r_(1))/(sqrt(r_(1)^(2)+r_(2)^(2)))`