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, \(\angle BPC = {19^o},\) arc AB =arc BC = arc CD. Then, the measure of \(\angle APD\) is
Question 1 figure 1
  • A
    \({76^o}\)
  • B
    \({38^o}\)
  • C
    \({59^o}\)
  • D
    \({57^o}\)
    Correct
2
The given figures show two congruent circles with centre O and O’. Arc AXB subtends an angle of \({75^o}\) at the centre and arc A’YB’ subtends an angle of \({25^o}\) at the centre O’. Then, the ratio of arcs AXB to A ‘YB’ is
Question 2 figure 1
  • A
    it is 1 : 3
  • B
    it is 3 : 1
    Correct
  • C
    it is 2 : 1
  • D
    it is 1 : 2
3
Greatest chord of a circle is called its
  • A
    secant
  • B
    chord
  • C
    radius
  • D
    diameter
    Correct
4
Angle formed in minor segment of a circle is
  • A
    a right angle
  • B
    an obtuse angle
    Correct
  • C
    a straight angle
  • D
    an acute angle
5
Number of circles that can be drawn through three non-collinear points is
  • A
    2
  • B
    0
  • C
    3
  • D
    1
    Correct
6
AB is a chord of a circle with radius ‘r’. If P is any point on the circle such that \(\angle APB\) is a right angle , then AB is equal to
  • A
    3r
  • B
    r
  • C
    2r
    Correct
  • D
    \({r^2}\)
7
Chords AB and CD intersect at right angles. If \(\angle BAC = {40^o},\) then \(\angle ABD\) is equal to
Question 7 figure 1
  • A
    \({50^o}\)
    Correct
  • B
    \({45^o}\)
  • C
    \({45^o}\)
  • D
    \({60^o}\)
8
In the given figure if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to
Question 8 figure 1
  • A
    3 cm
  • B
    5 cm
  • C
    4 cm
  • D
    2 cm
    Correct
9
X is a point on a circle with centre O. If X is equidistant from the two radii OP, OQ, then arc PX : arc PQ is equal to
Question 9 figure 1
  • A
    it is 2 : 1
  • B
    it is 1 : 1
  • C
    it is 2 : 3
  • D
    it is 1 : 2
    Correct
10
If ABCD is a cyclic trapezium in which AD\(\parallel \) BC and \(\angle B = {60^o}\) , then \(\angle BCD\) is equal to
Question 10 figure 1
  • A
    \({60^o}\)
    Correct
  • B
    \({100^o}\)
  • C
    \({80^o}\)
  • D
    \({60^o}\)
11
If a straight line APQB is drawn to cut two concentric circles, then
Question 11 figure 1
  • A
    AP \( < \) BQ
  • B
    AP \( > \) BQ
  • C
    AP = BQ
    Correct
  • D
    AQ \( > \) PB
12
If AB = 12 cm, BC = 16 and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is
  • A
    8 cm
  • B
    10 cm
    Correct
  • C
    12 cm
  • D
    6 cm
13
The value of x in the given figure is
Question 13 figure 1
  • A
    \({35^o}\)
    Correct
  • B
    \({25^o}\)
  • C
    \({45^o}\)
  • D
    \({30^o}\)
14
In the given figure, if \(\angle BAC = {25^o}\) , then \(\angle BOC\) is equal to
Question 14 figure 1
  • A
    \({50^o}\)
    Correct
  • B
    \({125^o}\)
  • C
    \({60^o}\)
  • D
    \({25^o}\)
15
In the given figure, if \(\angle ADC = {118^o},\) then the measure of \(\angle BDC\) is
Question 15 figure 1
  • A
    \({22^o}\)
  • B
    \({28^o}\)
    Correct
  • C
    \({38^o}\)
  • D
    \({32^o}\)