What is the distance between the points of tangency of a common tangent AB to tw

Question

What is the distance between the points of tangency of a common tangent AB to two circles I and II which are externally tangent to each other. The radii of the two circles are 9 and 16 units.

Options:

A . 24

B . 22

C . 27

D . 17√3

Answer: Option A
:
A

From the diagram above, AC

^{1}

=16
and BC

^{2}

=9.
Also C

^{1}

- C

^{2}

=25.
PC

^{1}

= 7 (16-9)
AB=PC

^{2}

^{1}

- P - C

^{2}

is a right angled triangle
(

C^{1} - C^{2})^{2}

= PC

^{12}

+PC

^{22}

Thus, PC

^{2}

\sqrt{625 - 49}

\sqrt{576}

= 24

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. While ordering these four numbers from least to greatest: 536, 1051, 1735, 3117, which is the 3rd number?....

Question 2. A trader used to make 5% profit on an item selling at usual marked price. One day, he trebled the marked price of the it....the percentage profit he made on the item that day.

Question 3. Box I contains 5 red and 6 black marbles. Box II contains 4 red and 5 black marbles. One marble is drawn at random from ....that the last marble drawn from Box I is red.

Question 4. A sphere is inscribed in a cube that has a surface area of 24 m2. A second cube is then inscribed within the sphere. Wha....the surface area in square metres of the inner cube?

Question 5. In the diagram below, how many distinct paths are there from the start to the finish, moving from one adjacent dot to th....to the right, down, or diagonally down to the right?

Question 6. Find the area of the shaded region, such that square is formed by using the lines x=±1, y=±1.....

Question 7. According to a survey, at least 65% of the people like BlackBerry, 75% like iPhone and 80% like Samsung. It is known tha....is the minimum percentage of people who like all three?

Question 8. The pair of two-digit numbers 12 and 63 has the interesting property that if the product expression 12×63 is read in re....the other number in the pair is an odd prime?___

Question 9. Two clocks are set to show the correct time at 1:00am on a day. One clock loses 3 minutes in an hour and the other clock....the correct time? Assume that is a 12 hour clock.

Question 10. Two cars start at the same time from towns A and B, and travel with constant but diﬀerent speeds towards each oth....from town B. The distance between the two towns is

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers