Question:medium
In figure \( AB = 8 \, \text{cm} \) and \( PE = 3 \, \text{cm} \), then find AE.
In figure \( AB = 8 \, \text{cm} \) and \( PE = 3 \, \text{cm} \), then find AE.
Show Hint
The Power of a Point theorem is useful when a line segment is drawn from an external point to a circle, and the lengths of the two parts of the segment are related.
Updated On: Mar 1, 2026
Show Solution
Solution and Explanation
Was this answer helpful?
0
Top Questions on Coordinate Geometry
- Let \( y = x \) be the equation of a chord of the circle \( C_1 \) (in the closed half-plane \( x \ge 0 \)) of diameter 10 passing through the origin. Let \( C_2 \) be another circle described on the given chord as diameter. If the equation of the chord of the circle \( C_2 \), which passes through the point \( (2, 3) \) and is farthest from the center of \( C_2 \), is \( x + ay + b = 0 \), then \( b \) is equal to:
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
- Let \( S = \{z : 3 \le |2z - 3(1+i)| \le 7\ \) be a set of complex numbers. Then \( \min_{z \in S} \left| z + \frac{1}{2}(5+3i) \right| \) is equal to :}
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
- Number of solutions of \( \sqrt{3} \cos 2\theta + 8 \cos \theta + 3\sqrt{3} = 0, \theta \in [-3\pi, 2\pi] \) is:
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
- The number of elements in the relation \[ R=\{(x,y): 4x^2+y^2<52,\; x,y\in\mathbb{Z}\} \] is
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
- Want to practice more? Try solving extra ecology questions todayView All Questions
