MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Quantitative Aptitude

Mixture & Alligations

Let C be a ci...

Question

Let C be a circle with centre $P_{0}$ and AB be a diameter of C. Suppose $P_{1}$ is the mid point of the line segment $P_{0} B, P_{2}$ is the mid-point of the line segment $P_{1} B$ and so on. Let $C_{1}, C_{2}, C_{3}$ ,… be circles with diameters $P_{0} P_{1}, P_{1} P_{2}, P_{2} P_{3}$ … respectively. Suppose the circles $C_{1}, C_{2}, C_{3}$ … are all shaded. The ratio of the area of the unshaded portion of C to that of the original circle C is :

A

8 : 9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

9 : 10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

10 : 11

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

11 : 12

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 11 : 12
Option (D) is the correct answer. Check the video for the approach.

Suggest Corrections

thumbs-up

0

Similar questions

C

be a circle with centre

P_{0}

A B

be a diameter of

C

P_{1}

is the mid point of the line segment

P_{0} B

P_{2}

is the mid point of the line segment

P_{1} B

C_{1}, C_{2}, C_{3}, . . .

be circles with diameter

P_{0} P_{1}, P_{1} P_{2}, P_{2} P_{3}, . . .

, respectively. Suppose the circles

C_{1}, C_{2}, C_{3}, . . .

are all shaded. The ratio of the area of the unshaded portion of

C

to that of the original circle

C

A B

be a line segment with midpoint

C

D

be the midpoint of

A C

C_{1}

be the circle with diameter

A B

C_{2}

be the circle with diameter

A C

E

C_{1}

E C

is perpendicular to

A B

F

C_{2}

D F

is perpendicular to

A B

E

F

lie on opposite sides of

A B

. Then the value of

sin ∠ F E C

Q. The centres of two circles

C_{1}

C_{2}

each of unit radius are at a distance of 6 units from each other. Let

P

be the mid point of the line segment joining the centres of

C_{1}

C_{2}

C

be a circle touching circles

C_{1}

C_{2}

extemally. If a common tangent to

C_{1}

C

passing through

P

is also a common tangent to

C_{2}

C

, then the radius ofthe circle

C

Q. The centres of two circles

C_{1}

C_{2}

each of unit radius are at a distance of

6

units from each other. Let

P

be the mid point of the line segment joining the centres of

C_{1}

C_{2}

C

be a circle touching

C_{1}

C_{2}

externally. If a common tangent to

C_{1},

C

passing through

P

is also a common tangent to

C_{2}

C

, then the radius of the circle

C

Let $c_{1} : x^{2} + y^{2} = 1; C_{2} : (x - 10)^{2} + y^{2} = 1 a n d C_{3}; x^{2} + y^{2} - 10 x - 42 y + 457 = 0$ be three circle.A circle C has been drawn to touch circles $C_{1}$ and $C_{2}$ externally and $C_{3}$ internally. Now circles $C_{1}, C_{2}$ and $C_{3}$ start rolling on the circumference of circle C in anticlockwise direction with constant speed. The centroid of the triangle formed by joining the centres of rolling circles $C_{1}, C_{2}$ and $C_{3}$ lies on

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Averages and Alligations Concepts

QUANTITATIVE APTITUDE

Watch in App

explore_more_icon

Explore more

Mixture & Alligations

Other Quantitative Aptitude

Join BYJU'S Learning Program

CrossIcon