Question Pool Tangents

Tangents - SAMAGRA Question Pool & Answers | Class 10 English Medium

Kerala Syllabus SAMAGRA SCERT SAMAGRA Question Pool for Class 10 English Medium Maths Tangents

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Qn 1.

In the figure PC is the tangent to the circle, If PC = 12 cm , PB = 8 cm and PQ = 2 cm find

a) the length of AP

b) the length of the tangent from Q to C

 

  • Answer)
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Qn 2.

Area of a right triangle is 60 sq. cm. And its inradius is 3cm. Find

a). the perimeter of  the triangle

b). the length of the hypotenuse of the triangle

 

  • Answer)
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Qn 3.

In the figure , ABC is a right triangle BP = 3 cm. If the hypotenuse of the triangle is 15 cm. , find

a). the inradius of the circle

b). the perimeter of the triangle

c). the area of the triangle

 

  • Answer)

    r = 3 cm                                            

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Qn 4.

Draw a circle of radius 3 cm. Construct an equilateral triangle such that all the sides touching the circle.

  • Answer)
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Qn 5.

Draw a triangle of sides 8 cm, 7 cm, and 6 cm . Draw its incircle and measure the  inradius.

  • Answer)
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Qn 6.

The sides of the quadrilateral ABCD touches the circle at P,Q,R and S

a). Find the length of AS

b). Find all the sides of quadrilateral ABCD.

 

  • Answer)

    AS = AP = 4 cm                               

    For finding AD, AB, BC, CD

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Qn 7.

The sides of a triangle are 13 cm, 14 cm and 15 cm.

a). Find the perimeter of the triangle

b) Find Area of the triangle

c) Find Inradius of the triangle

 

  • Answer)
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Qn 8.

The perpendicular sides of the right triangle are 9 cm and 12 cm.

a). Find the perimeter of the triangle

b). Find the area of the triangle

c). Find the inradius of the triangle

 

  • Answer)
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Qn 9.

In the figure , incircle of  triangle ABC touches the sides of the triangle at P, Q and R. Find the angles of  triangle ABC

 

  • Answer)

    ∠POR = 2 X 800 = 160                                    

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Qn 10.

In the figure O is the centre of the circle and AB is a tangents to the circle. BD = 3.6 cm , CD = 6.4 cm Then

a). find the length of AB

b). find the radius of the circle.

 

  • Answer)

    BC = 10 cm                                            

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