Circles CBSE Questions & Answers

Circles

This is Mathematics Class 09 Circles CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
In a figure, O is the centre of the circle with AB as diameter. If \(\angle AOC = {40^o},\) the value of x is equal to
Question 1 figure 1
  • A
    \({80^o}\)
  • B
    \({60^o}\)
  • C
    \({50^o}\)
  • D
    \({70^o}\)
    Correct
2
For what value of x in the figure, points A, B, C and D are concyclic ?
Question 2 figure 1
  • A
    \({10^o}\)
    Correct
  • B
    \({9^o}\)
  • C
    \({11^o}\)
  • D
    \({12^o}\)
3
In the given figure, O is the centre of the circle. If \(\angle CAB = {40^o}\) and \(\angle CBA = {110^o},\) the value of x is :
Question 3 figure 1
  • A
    \({50^o}\)
  • B
    \({55^o}\)
  • C
    \({60^o}\)
    Correct
  • D
    \({80^o}\)
4
Angle inscribed in a semicircle is :
  • A
    \({90^o}\)
    Correct
  • B
    \({120^o}\)
  • C
    \({75^o}\)
  • D
    \({60^o}\)
5
In the given figure, O is the centre of the circle. If \(\angle QPR\) is \({50^o},\) then \(\angle QOR\) is :
Question 5 figure 1
  • A
    \({40^o}\)
  • B
    \({100^o}\)
    Correct
  • C
    \({130^o}\)
  • D
    \({50^o}\)
6
Arc ABC subtends an angle of \({130^o}\) at the centre O of the circle. AB is extended to P. Then \(\angle CBP\) equals :
Question 6 figure 1
  • A
    \({130^o}\)
  • B
    \({70^o}\)
  • C
    \({65^o}\)
    Correct
  • D
    \({60^o}\)
7
In the figure, O is the centre of eh circle and \(\angle AOB = {80^o}\). The value of x is :
Question 7 figure 1
  • A
    \({40^o}\)
    Correct
  • B
    \({30^o}\)
  • C
    \({160^o}\)
  • D
    \({60^o}\)
8
In the figure, O is the center of the circle. If \(\angle OAB = {40^o},\) then \(\angle ACB\) is equal to :
Question 8 figure 1
  • A
    \({50^o}\)
    Correct
  • B
    \({60^o}\)
  • C
    \({40^o}\)
  • D
    \({70^o}\)
9
In the figure, if \(\angle DAB = {60^o},\) \(\angle ABD = {50^o},\) then \(\angle ACB\) is equal to :
Question 9 figure 1
  • A
    \({80^o}\)
  • B
    \({50^o}\)
  • C
    \({60^o}\)
  • D
    \({70^o}\)
    Correct
10
In the figure, O is the centre of the circle. If \(\angle ABC = {20^o}\) , then \(\angle AOC\) is equal to :
Question 10 figure 1
  • A
    \({20^o}\)
  • B
    \({40^o}\)
    Correct
  • C
    \({10^o}\)
  • D
    \({60^o}\)
11
In the given figure, a circle is centred at O. The value of x is :
Question 11 figure 1
  • A
    \({70^o}\)
  • B
    \({125^o}\)
  • C
    \({110^o}\)
    Correct
  • D
    \({55^o}\)
12
In the given figure, O s the centre of circle, \(\angle BAO = {68^o},\) AC is diameter of circle, then measure of \(\angle BCO\) is :
Question 12 figure 1
  • A
    \({68^o}\)
  • B
    \({44^o}\)
  • C
    \({33^o}\)
  • D
    \({22^o}\)
    Correct
13
In the figure, if \(\angle SPR = {73^o},\) \(\angle SRP = {42^o},\) then \(\angle PQR\) is equal to :
Question 13 figure 1
  • A
    \({70^o}\)
  • B
    \({74^o}\)
  • C
    \({65^o}\)
    Correct
  • D
    \({76^o}\)
14
In the figure, O is the centre of the circle. If \(\angle OPQ = {25^o}\) and \(\angle ORQ = {20^o}\) , then the measures of \(\angle POR\) and \(\angle PQR\) are respectively :
Question 14 figure 1
  • A
    \({110^o},{55^o}\)
  • B
    \({105^o},{450^o}\)
  • C
    \({90^o},{45^o}\)
    Correct
  • D
    \({100^o},{50^o}\)
15
In the figure, O is the centre of the circle with \(\angle AOB = {85^o}\) and \(\angle AOC = {115^o},\) Then \(\angle BAC\) is :
Question 15 figure 1
  • A
    \({100^o}\)
  • B
    \({115^o}\)
  • C
    \({85^o}\)
  • D
    \({80^o}\)
    Correct