From an external point P, two tangents PA and PB are drawn to a circle with centre O, radius 9 cm. The two tangents are perpendicular to each other (angle APB = 90°). Using the fact that OAPB becomes a square, find the length of each tangent PA in cm.

Question

Accepted Answer

9. When the tangents are perpendicular, OAPB is a square, so PA = OA = radius = 9 cm.

From an external point P, two tangents PA and PB are drawn to a circle with centre O, radius 9 cm.
The two tangents are perpendicular to each other (angle APB = 90°).
Using the fact that OAPB becomes a square, find the length of each tangent PA in cm.

Step-by-Step Solution

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More Class 10 Number of Tangents from a Point practice

From an external point P, two tangents PA and PB are drawn to a circle with centre O, radius 9 cm.The two tangents are perpendicular to each other (angle APB = 90°).Using the fact that OAPB becomes a square, find the length of each tangent PA in cm.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Number of Tangents from a Point practice

From an external point P, two tangents PA and PB are drawn to a circle with centre O, radius 9 cm.
The two tangents are perpendicular to each other (angle APB = 90°).
Using the fact that OAPB becomes a square, find the length of each tangent PA in cm.