Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course
Offline Centres

Q.

In the figure PA and PB are two tangents drawn from an external point P to a circle with center C of radius 4 cm. If PA⊥PB then the length of each tangent is:


E.png

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

3 cm

b

4 cm

c

5 cm

d

6 cm 

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The correct answer is 4cm.
Radius of circle= 4cm
Using the figure,
⇒CA=CB=4cm  
The  tangents drawn to the circle from the external point are equal:
⇒PA=PB  
Given: PA⊥PB  
Now, the radius of the circle is perpendicular to the tangent.
We get: CA⊥PA   and CB⊥PB  
The quadrilateral CAPB is a square as all angles are 90 degrees and adjacent sides are equal.
⇒CA=CB=PA=PB=4cm  
Therefore, the length of tangent is 4cm.
The answer is option 2.
 
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon
In the figure PA and PB are two tangents drawn from an external point P to a circle with center C of radius 4 cm. If PA⊥PB then the length of each tangent is: