Question:
If two circles touch each other externally, then what is the number of common tangents?
If two circles touch each other externally, then what is the number of common tangents?
Show Hint
Two externally touching circles always have **4 common tangents** (2 external and 2 internal).
Updated On: Oct 27, 2025
- \( 1 \)
- \( 2 \)
- \( 3 \)
- \( 4 \)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
When two circles touch externally, they have
- Two external common tangents
- Two internal common tangents
Thus, the total number of common tangents is 4.
- Two external common tangents
- Two internal common tangents
Thus, the total number of common tangents is 4.
Was this answer helpful?
0
0
Top Questions on Circles
In the following figure chord MN and chord RS intersect at point D. If RD = 15, DS = 4, MD = 8, find DN by completing the following activity:
Activity :
\(\therefore\) MD \(\times\) DN = \(\boxed{\phantom{SD}}\) \(\times\) DS \(\dots\) (Theorem of internal division of chords)
\(\therefore\) \(\boxed{\phantom{8}}\) \(\times\) DN = 15 \(\times\) 4
\(\therefore\) DN = \(\frac{\boxed{\phantom{60}}}{8}\)
\(\therefore\) DN = \(\boxed{\phantom{7.5}}\)In the following figure, circle with centre D touches the sides of \(\angle\)ACB at A and B. If \(\angle\)ACB = 52\(^\circ\), find measure of \(\angle\)ADB.
- Prove that tangent segments drawn from an external point to a circle are congruent.
- \(\square\)ABCD is a rectangle. Taking AD as a diameter, a semicircle AXD is drawn which intersects the diagonal BD at X. If AB = 12 cm, AD = 9 cm, then find the values of BD and BX.
- In cyclic quadrilateral ABCD m\(\angle\)A = 100\(^\circ\), then find m\(\angle\)C.
View More Questions
Questions Asked in Bihar Class X Board exam
- One day the old emperor Shah Jahan became ill. His son Aurangzeb, who always wanted to be the emperor, put his father in a jail. Jahanara Begum, the eldest child of Shah Jahan, did not leave her father and went to jail along with him. She said, “I shall share the suffering of my father. He needs me in his old age, and I shall never leave him.” Shah Jahan spent seven years in jail before dying. During that period, Princess Jahanara stayed there and took care of him. After the death of her father, she returned to her own palace and continued to live there till her death. Before her death, however, she gave away all she had to the needy and the poor. Upon her death, Aurangzeb gave her the posthumous title : Sahibat-uz-Zamani (mistress of age).
- Bihar Board X - 2025
- Reading Comprehension
- Choose the passive voice of : “Have this lock broken.”
- Choose the most suitable translation : वे लोग विद्यालय जा चुके हैं।
- Bihar Board X - 2025
- Comparative Literature and Translations Studies
- Choose the most suitable translation : उसने मुझे सोया हुआ पाया।
- Bihar Board X - 2025
- Comparative Literature and Translations Studies
- Choose the most suitable translation : नियमित रूप से अध्ययन करो।
- Bihar Board X - 2025
- Comparative Literature and Translations Studies
View More Questions