Question:
From an external point \( P \), two tangents \( PA \) and \( PB \) are drawn to a circle. If \( PA = 6 \, \text{cm} \), then \( PB = \)
From an external point \( P \), two tangents \( PA \) and \( PB \) are drawn to a circle. If \( PA = 6 \, \text{cm} \), then \( PB = \)
Show Hint
The lengths of two tangents from an external point to a circle are always equal.
Updated On: Oct 27, 2025
- 12 cm
- 6 cm
- 8 cm
- 18 cm
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: In a circle, the lengths of the tangents drawn from an external point to the circle are equal.
\[
PA = PB
\]
Since \( PA = 6 \, \text{cm} \), we have \( PB = 6 \, \text{cm} \).
Thus, the correct answer is \( \boxed{6 \, \text{cm}} \).
Was this answer helpful?
0
0
Top Bihar Class X Board Mathematics Questions
- If 5th term of an A.P. is 11 and common difference is 2 then what is its first term ?
- The sum of an A.P. with n terms is \(n^2 + 2n + 1\) then its 6th term is
- Which of the following is in an A.P. ?
- Which of the following is not in an A.P. ?
- The sum of first 20 terms of the A.P. 1, 4, 7, 10, ... is
View More Questions
Top Bihar Class X Board Mensuration Questions
- If the radius of a wheel is \( \dfrac{35}{44} \) metre, then the distance covered in \(2\) revolutions is:
- If \(O\) is the centre and \(r\) is the radius of a circle and \(\angle AOB=\theta\) (in degrees), then the length of arc \(AB\) is equal to:
- How many solid spheres of radius \(1\) cm can be made from a solid sphere of radius \(8\) cm (assuming no loss of material)?
- The base diameter of a cone is \(10\) cm and its height is \(12\) cm. Then the volume of the cone is:
- The external radius of a metallic pipe is \(4\) cm and its internal radius is \(3\) cm. If its length is \(10\) cm, then the volume of metal is:
View More Questions
Top Bihar Class X Board Questions
- Jim says that women use too many ........................ things.
- R. C. Hutchinson in 'The Pace for Living' describes the ........................ of modern man.
- According to Jim, nobody's willing to do anything about ........................ .
- The squirrel was considered an easy prey by the ........................ .
- The author enjoys travelling fast in a ........................ if it is not his own.
View More Questions