Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125o)
Ans: Given ∠PAB = 125o
To find : - ∠POQ = ?
Construction : - Join PQ
Proof : - ∠PAB + ∠PAQ = 180o (Linear pair)
∠PAQ + 125o = 180o
∠PAQ = 180o - 125o
∠PAQ = 55o
Since the length of tangent from an external point to a circle are equal.
PA = QA
∴ From ΔPAQ
∠APQ = ∠AQP
In ΔAPQ
∠APQ + ∠AQP + ∠PAQ = 180o (angle sum property)
∠APQ + ∠AQP + 55o = 180o
2∠APQ = 180o - 55o (Θ ∠APQ = ∠AQP)
∠APQ = 125/2
∴∠APQ =∠AQP = 125/2
OQ and OP are radii
QA and PA are tangents
∴∠OQA = 90o
& ∠OPA = 90o
∠OPQ + ∠QPA = ∠OPA = 90o (Linear Pair)
∠OPQ + 125o/2 =90o
∠OPQ = 90o - 125o/2
= 180o-125o/2
∠OPQ = 55o/2
Similarly ∠OQP + ∠PQA = ∠OQA
∠OQP + 125o/2 =90o
∠OQP = 90o- 125o/2
∠OQP = In ΔPOQ
∠OQP + ∠OPQ + ∠POQ = 180o (angle sum property)
55o/2 + 55o/2 +∠POQ =180o
∠POQ + 110/2 =180o
∠POQ =180o - 110/2
∠POQ = 360o-110/2
∠POQ = 250o/2
∠POQ =125o
∴∠POQ =125o
help
what is cos 120
6-year-old Rahul wasn't able to understand multiplication when it was thrust upon him in school. His mother discussed this problem with some of us. On the basis of suggestions that
The Invisible Effort : Although the development of children is a process, what is noticed and given recognition to is the end-product. We usually speak of children having achieve
Are you suppose to divide the 1 or subtract
Saddle Point This point in a pay off matrix is one which is the largest value in its column and the smallest value in its row. This is also termed as equilibrium point in the t
circumference of a circle
Levels of significance A level of significance is a probability value which is utilized when conducting tests of hypothesis. A level of significance is mostly the probability
How could 2+2 will be Equal to 5
what is sandwich throem
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd