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 the given figure, if \(\angle CDB = {40^o},\) then the measure of \(\angle PAC\) is
Question 1 figure 1
  • A
    \({140^o}\)
    Correct
  • B
    \({160^o}\)
  • C
    \({120^o}\)
  • D
    \({100^o}\)
2
The given figure shows two intersecting circles. If \(\angle ABC = {75^o},\) then the measure of \(\angle PAD\) is
Question 2 figure 1
  • A
    \({125^o}\)
  • B
    \({75^o}\)
  • C
    \({150^o}\)
  • D
    \({105^o}\)
    Correct
3
In the given figure, chords AB and CD intersect at P. If \(\angle DPB = {88^o}\) and \(\angle DAP = {46^o},\) then the measure of \(\angle ABC\) is
Question 3 figure 1
  • A
    \({42^o}\)
    Correct
  • B
    \({48^o}\)
  • C
    \({46^o}\)
  • D
    \({44^o}\)
4
In the given figure, O is the centre of the circle ABE is a straight line,. If \(\angle DBE = {95^o}\) then \(\angle AOD\) is equal to
Question 4 figure 1
  • A
    \({170^o}\)
    Correct
  • B
    \({180^o}\)
  • C
    \({190^o}\)
  • D
    \({175^o}\)
5
In the given figure, chords AB and CD intersect each other at right angles. Then, \(\angle x + \angle y\) is equal to
Question 5 figure 1
  • A
    \({75^o}\)
  • B
    \({60^o}\)
  • C
    \({45^o}\)
  • D
    \({90^o}\)
    Correct
6
The region between chord and either of the arc is called
  • A
    a semicircle
  • B
    a sector
  • C
    a segment
    Correct
  • D
    a quarter circle
7
In the given, AB is side of regular five sided polygon and AC is a side of a regular six sided polygon inscribed in the circle with centre O. AO and CB intersect at P, then \(\angle APB\) is equal to
Question 7 figure 1
  • A
    \({96^o}\)
    Correct
  • B
    \({90^o}\)
  • C
    \({96^o}\)
  • D
    \({72^o}\)
8
Chords AD and BC intersect each other at right angles at point P. \(\angle DAB = {35^o},\) then \(\angle ADC\) is equal to
Question 8 figure 1
  • A
    \({45^o}\)
  • B
    \({55^o}\)
    Correct
  • C
    \({65^o}\)
  • D
    \({35^o}\)
9
What fraction of the whole circle is minor arc RP in the given figure ?
Question 9 figure 1
  • A
    \({1 \over 3}\) of the circle
    Correct
  • B
    \({1 \over 5}\) of the circle
  • C
    \({1 \over 2}\) of the circle
  • D
    \({1 \over 4}\) of the circle
10
In the given circle, O is the centre and \(\angle BDC = {42^o}\). Then, \(\angle ACB\) is equal to
Question 10 figure 1
  • A
    \({42^o}\)
  • B
    \({52^o}\)
  • C
    \({48^o}\)
    Correct
  • D
    \({58^o}\)
11
In the given figure, AB \(\parallel \) CD and O is the centre of the circle. If \(\angle ADC = {25^o},\) then the measure of \(\angle AEB\) is
Question 11 figure 1
  • A
    \({80^o}\)
  • B
    \({25^o}\)
  • C
    \({80^o}\)
  • D
    \({40^o}\)
    Correct
12
In the given figure, \(\angle OPQ = {30^o}\) and \(\angle ORQ = {57^o}\). Then, the measure of \(\angle POR\) is
Question 12 figure 1
  • A
    \({33^o}\)
  • B
    \({54^o}\)
    Correct
  • C
    \({33^o}\)
  • D
    \({66^o}\)
13
In the given figure, O is the centre of the circle and \(\angle SPQ = {50^o}\). Then, the measure of \(\angle SRQ\) is
Question 13 figure 1
  • A
    \({110^o}\)
  • B
    \({100^o}\)
  • C
    \({120^o}\)
  • D
    \({130^o}\)
    Correct
14
In the given figure, M, A, B and N are points on a circle having centre O. AN and MB cut at Y. If \(\angle NYB = {50^o}\) and \(\angle YNB = {20^o},\) then reflex \(\angle MON\) is equal to
Question 14 figure 1
  • A
    \({220^o}\)
    Correct
  • B
    \({240^o}\)
  • C
    \({260^o}\)
  • D
    \({200^o}\)
15
In the given figure, ABCD is a cyclic quadrilateral, \(\angle CBQ = {48^o}\) and a = 2b. Then, b is equal to
Question 15 figure 1
  • A
    \({38^o}\)
  • B
    \({18^o}\)
  • C
    \({28^o}\)
    Correct
  • D
    \({48^o}\)