Question:
The number of tangents that can be drawn to two non-intersecting circles is
The number of tangents that can be drawn to two non-intersecting circles is
Updated On: Sep 25, 2024
- 4
- 3
- 2
- 1
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct option is (A): 4
Explanation: The number of tangents that can be drawn to two non-intersecting circles depends on their positions relative to each other. For two non-intersecting circles, there are four possible tangents:
1. Two external tangents: These tangents touch both circles from the outside.
2. Two internal tangents: These tangents pass between the two circles.
Since the question specifies that the circles do not intersect, the total number of tangents that can be drawn is **4**.
So, the answer is Option A: 4.
Explanation: The number of tangents that can be drawn to two non-intersecting circles depends on their positions relative to each other. For two non-intersecting circles, there are four possible tangents:
1. Two external tangents: These tangents touch both circles from the outside.
2. Two internal tangents: These tangents pass between the two circles.
Since the question specifies that the circles do not intersect, the total number of tangents that can be drawn is **4**.
So, the answer is Option A: 4.
Was this answer helpful?
0
0
Top Questions on Geometry
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?
- ABCD is a rectangle where points C and D have coordinates (−2, 0) and (2, 0), respectively. If the area of the rectangle is 24, what is the best way to describe the equation of the line AB?
- A solid trophy, consisting of two parts, has been designed in the following manner: the bottom part is a frustum of a cone with the bottom radius 30 cm, the top radius 20 cm, and height 40 cm, while the top part is a hemisphere with radius 20 cm. Moreover, the flat surface of the hemisphere is the same as the top surface of the frustum. If the entire trophy is to be gold-plated at the cost of Rs. 40 per square cm, what would the cost for gold-plating be closest to?
- ABCD is a rectangle, where the coordinates of C and D are (-2,0) and (2,0), respectively. If the area of the rectangle is 24, which of the following is a possible equation representing the line AB?
- A straight line \( L_1 \) has the equation \( y = k(x - 1) \), where \( k \) is some real number. The straight line \( L_1 \) intersects another straight line \( L_2 \) at the point (5, 8). If \( L_2 \) has a slope of 1, which of the following is definitely FALSE?
View More Questions
Questions Asked in MAT exam
- The table shows the marks of five engineering students in Thermodynamics and Hydraulics. What is the ratio between the total marks obtained by Quesh and Sharma together in Hydraulics and the total marks obtained by Parikh and Rao together in Thermodynamics?
- The total number of male blood donors from the Jor Bagh and Saket together is
- MAT - 2025
- Graphs
- Find the Ratio of the number of female blood donors from Anand Lok and the number of male blood donors from the same colony.
- MAT - 2025
- Graphs
- Find the ratio between the male blood donors from Golf Link and Saket.
- MAT - 2025
- Graphs
- What is the respective ratio between the numbers of female blood donors from the Anand Lok and Green Park?
- MAT - 2025
- Linear Programming
View More Questions