Question:
In the given figure, PA is the tangent drawn from an external point P to the circle with center O. If the radius of the circle is 3 cm and PA = 4 cm, then the length of PB is
In the given figure, PA is the tangent drawn from an external point P to the circle with center O. If the radius of the circle is 3 cm and PA = 4 cm, then the length of PB is
Updated On: May 24, 2024
- 3 cm
- 4 cm
- 5 cm
- 2 cm
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D): 2 cm
Was this answer helpful?
2
0
Top Questions on Tangent to a Circle
- From an external point $P$, two tangents $PA$ and $PB$ are drawn to a circle with centre $O$. At a point $E$ on the circle, a tangent is drawn which intersects $PA$ and $PB$ at $C$ and $D$ respectively. If $PA = 10$ cm, find the perimeter of $\triangle PCD$.
- CBSE Class X - 2024
- Mathematics
- Tangent to a Circle
- In the given figure, two tangents PT and QT are drawn to a circle with centre O from an external point T. Prove that \(\angle\) PQT = \(2\angle\) OPQ.
- CBSE Class X - 2024
- Mathematics
- Tangent to a Circle
- In two concentric circles, the radii \(OA = r\) cm and \(OQ = 6\) cm, as shown in the figure. Chord $CD$ of the larger circle is a tangent to the smaller circle at $Q$. $PA$ is tangent to the larger circle. If $PA$ = $16$ cm and $OP = 20$ cm, find the length of $CD$.
- CBSE Class X - 2024
- Mathematics
- Tangent to a Circle
Assertion (A): If the PA and PB are tangents drawn to a circle with center O from an external point P, then the quadrilateral OAPB is a cyclic quadrilateral.
Reason (R): In a cyclic quadrilateral, opposite angles are equal.- CBSE Class X - 2024
- Mathematics
- Tangent to a Circle
- From an external point $P$, two tangents $PA$ and $PB$ are drawn to a circle with centre $O$. At a point $E$ on the circle, a tangent is drawn which intersects $PA$ and $PB$ at $C$ and $D$ respectively. If $PA = 10$ cm, find the perimeter of $\triangle PCD$.
- CBSE Class X - 2024
- Mathematics
- Tangent to a Circle
View More Questions
Questions Asked in AP POLYCET exam
- Find the 10th term of the arithmetic progression \(5,1,-3,-7,..….\)
- AP POLYCET - 2024
- Arithmetic Progressions
- If a sin 45°= b cosec 30°, then the value of \(\frac {a^4}{b^4}\) is
- AP POLYCET - 2024
- Trigonometry
- The ratio of the sum and product of the roots of the quadratic equation \(7x^2-12x+18=0\) is
- AP POLYCET - 2024
- Quadratic Equations
- The speed of light in vacuum is c. The speed of light in a medium of refractive index \(\frac 43\) is
- AP POLYCET - 2024
- Light - Reflection and Refraction
- If the volume of a cylinder is 500 m3 and the area of its base is 25 m2, then its height (in m) is
- AP POLYCET - 2024
- Volume of Cube, Cuboid and Cylinder
View More Questions