CIRCLES Test

CIRCLES

This is CIRCLES Test-04 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
A circle is inscribed in \(\Delta ABC\) having sides 8 cm, 10 cm and 12 cm as shown in the figure. Then,
Question 1 figure 1
  • A
    AD = 8 cm, BE = 6 cm.
  • B
    AD = 5 cm, BE = 7 cm.
  • C
    AD = 8 cm, BE = 5 cm.
  • D
    AD = 7 cm, BE = 5 cm.
    Correct
2
Quadrilateral PQRS circumscribes a circle as shown in the figure. The side of the quadrilateral which is equal to PD + QB is
Question 2 figure 1
  • A
    PS
  • B
    PQ
    Correct
  • C
    PR
  • D
    QR
3
The perimeter of \(\Delta PQR\) in the given figure is
Question 3 figure 1
  • A
    15 cm.
  • B
    45 cm.
  • C
    30 cm.
    Correct
  • D
    60 cm.
4
In the given figure, a circle touches all four sides of a quadrilateral PQRS, whose sides are PQ = 6.5 cm, QR = 7.3 cm, and PS = 4.2 cm, then RS is equal to
Question 4 figure 1
  • A
    7.3 cm.
  • B
    5 cm.
    Correct
  • C
    4.7 cm.
  • D
    5.3 cm.
5
In the given figure, perimeter of quadrilateral ABCD is
Question 5 figure 1
  • A
    48 units
  • B
    36 units
  • C
    34 units
    Correct
  • D
    28 units
6
In the given figure, if AQ = 4 cm, QR = 7 cm, DS = 3 cm, then x is equal to
Question 6 figure 1
  • A
    11 cm.
  • B
    10 cm.
  • C
    6 cm.
    Correct
  • D
    8 cm.
7
In the given figure, the perimeter of ABCD is
Question 7 figure 1
  • A
    48 cm.
  • B
    36 cm.
  • C
    44 cm.
    Correct
  • D
    40 cm
8
In the given figure, if quadrilateral PQRS circumscribes a circle, then
Question 8 figure 1
  • A
    \(x = 100^\circ ,\;y = 90^\circ \)
  • B
    \(x = 95^\circ ,\;y = 95^\circ \)
  • C
    \(x = 100^\circ ,\;y = 85^\circ \)
    Correct
  • D
    \(x = 85^\circ ,\;y = 100^\circ \)
9
In the given figure, PA and PB are tangents to a circle from an external point P. If \(\angle APB = 50^\circ \)and\({\text{AC }}||{\text{ PB}}\), then the measures of angles of triangle ABC are
Question 9 figure 1
  • A
    \({80^o},{60^o},{40^o}\)
  • B
    \({50^o},{50^o},{80^o}\)
  • C
    \({65^o},{50^o},{65^o}\)
    Correct
  • D
    \({50^o},{55^o},{75^o}\)
10
From a point A which is at distance of 13 cm from the centre O of a circle of radius 5 cm, the pair f tangents AB and AC to the circle are drawn. Then the area of quadrilateral ABOC is
  • A
    \(60\;c{m^2}\)
    Correct
  • B
    \(120\;c{m^2}\)
  • C
    \(80\;c{m^2}\)
  • D
    \(50\;c{m^2}\)
11
In the given figure, If TP and TQ are two tangents to a circle with centre O, so that \(\angle POQ = {110^o}\)then \(\angle PTQ\) is equal to :
Question 11 figure 1
  • A
    \(70^\circ \)
    Correct
  • B
    \(90^\circ \)
  • C
    \(80^\circ \)
  • D
    \(60^\circ \)
12
In the adjacent figure, if TP and TQ are two tangents to a circle with centre O, so that \(\angle PQO = {100^o}\), then \(\angle PTQ\) is equal to
Question 12 figure 1
  • A
    \(40^\circ \)
  • B
    \(90^\circ \)
  • C
    \(80^\circ \)
    Correct
  • D
    \(60^\circ \)
13
In the given figure, if \(\Delta ABC\) is circumscribing a circle, then the length of BC is :
Question 13 figure 1
  • A
    10 cm
    Correct
  • B
    11 cm
  • C
    7 cm
  • D
    18 cm
14
In the given figure, PQL and PRM are tangents to the circle with centre O at the points Q and R respectively and S is a point on the circle such that \(\angle SQL = {50^o}\) and \(\angle SRM = {60^o}\). Then \(\angle QSR\)is equal to :
Question 14 figure 1
  • A
    \({70^o}\)
    Correct
  • B
    \({50^o}\)
  • C
    \({40^o}\)
  • D
    \({60^o}\)
15
In figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA \( \bot \)PB, then the length of each tangent is:
Question 15 figure 1
  • A
    5 cm
  • B
    3 cm
  • C
    4 cm
    Correct