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Two circles of radii $4 cm$ and $3 cm$ , respectively, touch each other externally. What is the distance (in $cm$ ) between their centres?

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An arc length of

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How many tangents can be drawn to two circles, whose radii are equal to

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The two circles with radii $6 c m$ and $3 c m$ centred at the point $P$ and $Q$ respectively. A transverse common tangent $A C$ to the both circles cuts line Joining $P$ and $Q$ at the point $B$ such that $A B = 8 c m$ . Calculate the length (in cm.) of $P Q$ .

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△ A B C,

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The length of one side and the diagonal of a rectangle are

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Which among the following statements are certainly correct?

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$5 : 18$ is the ratio of the length and perimeter of a rectangle. What would be the ratio of its length and breadth?

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∆ A B D

C

is the midpoint of

B D

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A B

= 10

cm, AD

= 12

cm and

A C

= 9

cm, then

B D = ?

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The angle subtended by the chord of length

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120 °

at the centre. Calculate the distance of the chord (in

cm

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If the interior angle of a regularpolygon is $108 °$ , then it is a-

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2. Hexagon

3. Pentagon

4. Tetragon

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108^{0}

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The area of an equilateral triangle is

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sq. units. Find the value of the side (in units) of the triangle.

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. Find its area (in

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What is the area (in

{cm}^{2}

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20 cm

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24 cm

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The circle of radius

4 c m

and centre

O

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P R

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and

O R = 7 c m

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O P = 24 c m

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c m

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P R

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The distance between the centres of two circles having radii

5 c m

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6 c m

\sqrt{10} c m

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c m

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If the length of a rectangle is decreased by

5

metres and breadth increased by

3

metres, its area decreases by

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3 m

and breadth by

2 m

, its area increases by

67

m^{2}

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A hall is

15 m

long and

12 m

broad. The sum of the areas of the floor and the ceiling is?(in square meters).

Two circles of radii 4 cm and 3 cm, respectively, touch each other externally. What is the distance (in cm) between their centres?

Important Questions on Geometrical Shapes

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Two circles of radii $4 cm$ and $3 cm$ , respectively, touch each other externally. What is the distance (in $cm$ ) between their centres?