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Published on: 13/05/2022
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Questions + Answers key
Take MCQ Maths Test1.
Draw a tangent to the circle from the point P having radius 3.6 cm, and centre at O. Point P is at a distance 7.2 cm from the centre.
2.
Draw the two tangents from a point which is 5 cm away from the centre of a circle of diameter 6 cm. Also, measure the lengths of the tangents
3.
Draw the two tangents from a point which is 10 cm away from the centre of a circle of radius 5 cm. Also, measure the lengths of the tangents.
4.
Draw a tangent at any point R on the circle of radius 3.4 cm and centre at P ?
5.
Draw a circle of diameter 6 cm from a point P, which is 8 cm away from its centre. Draw the two tangents PA and PB to the circle and measure their lengths.
1.
Given radius r = 3.6 cm
Length of the tangents PA = PB = 6.2cm
Construction:
Steps
(1) with centre at o, drawn a circle of radius 3.6 cm.
(2) Draw a line OP = 7.2 cm,
(3) Draw a perpendicular bisector of OP, which cuts OP at M.
(4) With M as centre and MO as radius, draw a circle which cuts previous circle at A and B.
(5) Join AP and BP. AP and BP are the required tangents. Thus length of the tangents are PA = PB = 6.2 cm.
2.
Diameter = 6 cm
Radius =\(\frac { 6 }{ 2 } =3cm\)
Length of the tangents PA = PB = 4 cm
Construction:
Steps:
(1) With centre O, draw a circle of radius 3cm.
(2) Draw a line OP = 5 cm
(3) Draw a bisector of OP, which cuts OP and M
(4) With M as centre and MO as radius draw a circle which cuts previous circle at A and B
(5) Join AP and BP. AP and BP are the required tangents. Thus length of the tangents are PA = PB = 4 cm.
3.
The distance between the point from the centre is 10 cm.
Length of the tangents PA - PB = 8.7 cm
Construction:
Steps:
(1) With O as centre, draw a circle of radius 5cm.
(2) Draw a line OP = 10 cm.
(3) Draw a perpendicular bisector of OP which cuts OP at M.
(4) With M as centre and MO as radius, draw a circle which cuts previous circle at A and B.
(5) Join AP and BP. AP and BP are the required tangents. Thus length of the tangents are PA and PB = 8.7 cm
4.
Radius = 3.4 cm
Centre = P
Tangent at any point R
Construction
Steps
(1) Draw a circle with centre O of radius 3.4cm
(2) Take a point P on the circle. Join OP
(3) Drawn perpendicular line TT' to PR which passes through R.
(4) TTI is the required tangent.
5.
Given, diameter (d) = 6 cm, we find radius \((r)=\cfrac { 6 }{ 2 } =3cm\)
Construction
Step 1: With centre at O, draw a circle of radius 3 cm.
Step 2: Draw a line OP of length 8 cm.
Step 3: Draw a perpendicular bisector of OP, which cuts OP at M.
Step 4: With M as centre and MO as radius, draw a circle which cuts previous circle at A and B.
Step5: Join AP and BP. AP and BP are the required tangents. Thus length of the tangents are PA = PB = 7.4 cm.
Verification : In the right angle triangle OAP,PA2 = OP2 - OA2 = 64 -9 = 55
\(PA=\sqrt { 55= } 7.4\ cm\) (approximately) .
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards
