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.

The angle between the two tangents drawn from an external point to a circle is ____ to the angle subtended by the line segments joining the points of contact at the centre.


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

(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 angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segments joining the points of contact at the centre.
We know that sum of all the angles of a quadrilateral is 360° and the angles around a Point Perpendicular bisector
Given that PA   and PB  are the tangents drawn from a point P  to a circle with center O   and also the line segments OA  and OB  that are drawn.
Question ImageUsing the perpendicular bisector theorem, the perpendicular bisector of a chord passes through the center of the circle.
  PA ⊥OA ∠OAP = 90 ° PB ⊥OB ∠OBP = 90 ° ∠OAP+∠OBP = 90 ° + 90 °  ∠OAP+∠OBP = 180 ° .…… i  
Using the angles of a quadrilateral property that states, the sum of all the angles of a quadrilateral is 360°.
  ∠OAP+∠OBP+∠APB+∠AOB= 360 ° …… (ii)    [From (i) and (ii)] ∠APB+∠AOB= 180 °  
Thus, the angles are supplementary.
 
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