Constructions Test

Result

Constructions Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

To draw a pair of tangents to a circle which are inclined to each other at an angle of 45^o, it is required to draw tangents at the end points of the two radii of the circle, which are inclined at an angle of

A
135^o

B
105^o

C
125^o

D
130^o

Solution

According to the question, the angle between radii is 180^∘−45^∘=135^∘
Question 2
1 / -0

To draw a pair of tangents to a circle which are inclined to each other at angle x^o,, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is

A
90^o + x^o

B
180^o − x^o

C
90^o− x^o

D
180^o+ x^o

Solution

To draw a pair of tangents to a circle which are inclined to each other at angle x^o, it is required to draw tangents at the end points of those two radii of the circle, the angle between them is180^∘ − x^∘
Question 3
1 / -0

To draw tangents to each of the circle with radii 3 cm and 2 cm from the centre of the other circle, such that the distance between their centres A and B is 6 cm, a perpendicular bisector of AB is drawn intersecting AB at M. The next step is to draw

A
a circle with AM as diameter

B
a circle with AB as diameter

C
extend AB to P such that BP=MB and draw a circle with MP as diameter

D
a circle with MB as diameter

Solution

For constructing a tangent to any circle from outside point we have to bisect the straight line joining this point to its centre. then we get the midpoint M .now we draw a circle centring M which cuts the first circle at two points. joining of this two points with the first outside point we get the required tangent