हिंदी

In the Given Figure, O is the Centre of the Circle and ∠Pba = 45°. Calculate the Value of ∠Pqb.

Advertisements
Advertisements

प्रश्न

In the given figure, O is the centre of the circle and ∠PBA = 45°. Calculate the value of ∠PQB.

योग
Advertisements

उत्तर

Given ∠PBA = 45°
AOB is a diameter of circle.
∠APB = 90°             ....(Angle in semi-circle)
So, in ΔAPB,
∠PAB = 180° - (90° + 45°) = 45°

∠PAB = ∠PQB       ...(Angle in same segment)
∴ ∠PQB = 45°.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

In the figure, m∠DBC = 58°. BD is the diameter of the circle. Calculate:

1) m∠BDC

2) m∠BEC

3) m∠BAC


In the given figure, ∠BAD = 65°, ∠ABD = 70°, ∠BDC = 45°

1) Prove that AC is a diameter of the circle.

2) Find ∠ACB


In the given figure, RS is a diameter of the circle. NM is parallel to RS and ∠MRS = 29°. Calculate : ∠RNM


In the figure, given alongside, AB || CD and O is the centre of the circle. If ∠ADC = 25°; find the angle AEB. Give reasons in support of your answer.


Prove that the perimeter of a right triangle is equal to the sum of the diameter of its incircle and twice the diameter of its circumcircle.


Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the base.


Using ruler and a compass only construct a semi-circle with diameter BC = 7cm. Locate a point A on the circumference of the semicircle such that A is equidistant from B and C. Complete the cyclic quadrilateral ABCD, such that D is equidistant from AB and BC. Measure ∠ADC and write it down.


In the given figure, RS is a diameter of the circle. NM is parallel to RS and ∠MRS = 29°. Calculate : ∠NRM


In the given figure, AB is a diameter of the circle with centre O. DO is parallel to CB and ∠DCB = 120°. 

Calculate : ∠DBA 

Also, show that the ΔAOD is an equilateral triangle.


In the given figure, AC is the diameter of the circle with center O.

CD is parallel to BE.

∠AOB = 80° and ∠ACE = 20°

Calculate:

  1. ∠BEC
  2. ∠BCD
  3. ∠CED


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×