Q. 1 D4.3( 7 Votes )

# Choose the correct answer and give justification for each.

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80^{o}, then ∠POA is equal to

A. 50^{o}

B. 60^{o}

C. 70^{o}

D. 80^{o}

Answer :

We know that tangent to a circle makes right angle with radius.

∴ ∠A = ∠B = 90° and ∠P = 80°

Sum of all angles of quadrilateral = 180°

∴ ∠A + ∠B + ∠P + ∠O = 360°

∴ 90° + 90° + 80° + ∠O = 360°

∠O = 100°

∠ AOP = ∠ BOP

∴ ∠POA = 50°

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSChoose the correct answer and give justification for each.If AP and AQ are the two tangents a circle with centre O so that ∠POQ = 110°, then ∠PAQ is equal toA. 60oB. 70oC. 80oD. 90oNEXTChoose the correct answer and give justification for each.In the figure XY and X1Y1 are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X1Y1 at B then ∠AOB =A. 80oB. 100oC. 90oD. 60o

Related Videos

Quiz | A Letter to God39 mins

A Letter to God50 mins

A Letter to God45 mins

Champ Quiz | Area Related with the Circle45 mins

Time-Management: A key to Success37 mins

Lets Make a Timetable and Crack NTSE43 mins

How to build a strong Vocabulary?53 mins

Formulas- Not a Name of a Car48 mins

Cancer- A Deadly Disease!38 mins

Working of a Neuron39 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :