CIRCLES Test-03

CIRCLES Test-03

This is CIRCLES Test-03 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such \(\angle POR = 120^\circ \), then \(\angle OPQ\) is
  • A
    \(60^\circ \)
  • B
    \(30^\circ \)
    Correct
  • C
    \(35^\circ \)
  • D
    \(45^\circ \)
2
If PA and PB are tangents to the circle with centre O such that \(\angle APB = 40^\circ \), then \(\angle OAB\) is equal to
Question 2 figure 1
  • A
    \(25^\circ \)
  • B
    \(30^\circ \)
  • C
    \(40^\circ \)
  • D
    \(20^\circ \)
    Correct
3
If two tangents inclined at \(60^\circ \) are drawn to circle of radius 3 cm, then length of each tangent is equal to
Question 3 figure 1
  • A
    3 cm.
  • B
    \(2\sqrt 3 \) cm.
  • C
    \(3\sqrt 3 \)
    Correct
  • D
    \(3\sqrt 2 \) cm.
4
If PQR is a tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and \(\angle BQR = 60^\circ \), then \(\angle AQB\) is equal to
Question 4 figure 1
  • A
    \(30^\circ \)
  • B
    \(60^\circ \)
    Correct
  • C
    \(90^\circ \)
  • D
    \(45^\circ \)
5
If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of \(80^\circ \), then the measure of \(\angle OPQ = 35^\circ \), then find \(\angle {\text{POA}}{\text{.}}\)
Question 5 figure 1
  • A
    \(50^\circ \)
    Correct
  • B
    \(40^\circ \)
  • C
    \(60^\circ \)
  • D
    \(100^\circ \)
6
In the figure, two tangents TP and TQare drawn to a circle with centre O from an external point T. Then \(\angle \)PTQ =
Question 6 figure 1
  • A
    \(\frac{1}{2}\angle {\text{OPQ}}\)
  • B
    \(\angle {\text{OPQ}}\)
  • C
    \(4\angle {\text{OPQ}}\)
  • D
    \(2\angle {\text{OPQ}}\)
    Correct
7
In the given, if\(\angle ATO = 40^\circ \), then the measure of \(\angle AOB\) is
Question 7 figure 1
  • A
    \(80^\circ \)
  • B
    \(90^\circ \)
  • C
    \(100^\circ \)
    Correct
  • D
    \(120^\circ \)
8
TP and TQ are tangents from an external point T, to a circle with centre O \(\angle TQP = 60^\circ \) then the measure of \(\angle OPQ\) is
Question 8 figure 1
  • A
    \(40^\circ \)
  • B
    \(30^\circ \)
    Correct
  • C
    \(30^\circ \)
  • D
    \(60^\circ \)
9
In the given figure if QP = 4.5 cm, then the measure of QR is equal to
Question 9 figure 1
  • A
    13.5 cm.
  • B
    18 cm.
  • C
    15 cm.
  • D
    9 cm.
    Correct
10
The given figure shows two concentric circles with centre O. PR and PQS are tangents to the inner circle from point P lying on the outer circle. If PR = 7.5 cm, then Ps is equal to
Question 10 figure 1
  • A
    12 cm.
  • B
    15 cm.
    Correct
  • C
    18 cm.
  • D
    10 cm.
11
Two concentric circles of radii 3 cm and 5 cm are given. The length of chord BC which touches the inner circle at P is equal to
Question 11 figure 1
  • A
    6 cm.
  • B
    8 cm
    Correct
  • C
    10 cm.
  • D
    4 cm.
12
In the given figure, if AP = PB, then
Question 12 figure 1
  • A
    AB = BC.
  • B
    AC = AB.
  • C
    AQ = QC.
  • D
    AC = BC.
    Correct
13
In the given figure, AB = 8 cm. If PE = 3 cm, then the measure of AE is
Question 13 figure 1
  • A
    11 cm.
  • B
    3 cm.
  • C
    5 cm.
    Correct
  • D
    7 cm.
14
If PQ = 28 cm, then the perimeter of \(\Delta PLM\) is
Question 14 figure 1
  • A
    28 cm.
  • B
    42 cm.
  • C
    56 cm.
    Correct
  • D
    48 cm
15
The perimeter of \(\Delta PQR\) in the given figure is
Question 15 figure 1
  • A
    15 cm.
  • B
    45 cm.
  • C
    30 cm.
    Correct
  • D
    60 cm.