Draw a circle of radius 3 cm . Mark a point 7 cm away from its centre. Draw the tangents to the circle from this point.

Given to draw a circle of radius 3 cm and mark a point 7 cm away from its centre, then draw the tangents to the circle from this point. Steps of construction: 1 . Draw a circle of radius 3 cm and O as its centre. 2 . From centre mark O P = 7 cm . 3 . Draw the perpendicular bisector of the line O P and such that it meet O P at M . 4 . Draw a circle with radius O M which cut the circle at Q and R . 5 . Joint P R and P Q . Hence, P R and P Q are the tangents.

Circle with centre O touches the sides of the triangle at P , Q and R , A B = A C , A Q = 4 centimetres and C Q = 6 centimetres. Find the perimeter and the area of the triangle.

pyp Perimeter of triangle = 4 + 6 + 6 + 6 + 4 + 6 = 32 cm For the area of △ A B C s = A B + B C + C A 2 = 10 + 12 + 10 2 = 16 cm Area of △ A B C = s s - a s - b s - c = 16 16 - 10 16 - 12 16 - 10 = 16 × 6 × 4 × 6 = 48 cm 2

E M B I B E

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Tangents>Kerala Board-2020>Q 17

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10th Kerala Board

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In $∆ A B C, A B = 5$ centimetres, $∠ A = 65 °, ∠ B = 55 °$ . Draw the triangle $A B C$ and draw the incircle. Measure the radius of the incircle.

Important Questions on Tangents

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10th Kerala Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Tangents>Kerala Board-2020>Q 18

In the figure, $O$ is the centre of the large circle. Centre of the small circle is $C$ . $O P$ is a tangent to the small circle. $∠ BOQ = 50 °$ .

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$∠ OAQ =$ _____ $°$

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10th Kerala Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Tangents>Kerala Board-2020>Q 19

In the figure, $O$ is the centre of the large circle. Centre of the small circle is $C$ . $O P$ is a tangent to the small circle. $∠ BOQ = 50 °$ .

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$∠ OCP =$ _____ $°$

MEDIUM

10th Kerala Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Tangents>Kerala Board-2020>Q 20

In the figure, $O$ is the centre of the large circle. The centre of the small circle is $C$ . $O P$ is a tangent to the small circle. $∠ BOQ = 50 °$ .

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