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# Geometry, Coordinate Geometry Quiz-1

Question 1

Time: 00:00:00
A vertical ladder of 20 m leaning straight against a wall casts a shadow of 10 m long  on the ground. At the same time a buulding casts a shadow 50 m long on the ground. find the height of the tower

150 m

150 m

100 m

100 m

200 m

200 m

25 m

25 m

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Question 2

Time: 00:00:00
All the angles of two isosceles triangles are equal but they have a difference in their area. Their area is in the ratio 16:25. find the ratio of their corresponding heights.

$\frac{3}{2}$

$\frac{3}{2}$

$\frac{4}{5}$

$\frac{4}{5}$

$\frac{5}{4}$

$\frac{5}{4}$

$\frac{2}{3}$

$\frac{2}{3}$

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Question 3

Time: 00:00:00
Find the sum of squares of the medians of a triangle whose sides are 6 cm, 7 cm , 8 cm

259.52 cm2

259.52 cm2

111.75 cm2

111.75 cm2

256.84cm2

256.84cm2

124.75 cm2

124.75 cm2

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Question 4

Time: 00:00:00
if ΔABC is a right angled triangle such that ∠B = 90°, (AB + BC ) - AC = 20 cm and perimeter of ΔABC = 60 cm, then area of triangle in cm2 is .

50 cm2

50 cm2

100 cm2

100 cm2

200 cm2

200 cm2

300 cm2

300 cm2

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Question 5

Time: 00:00:00
Find the area of a trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.

$225 cm^{2}$

$225 cm^{2}$

$275 cm^{2}$

$275 cm^{2}$

$285 cm^{2}$

$285 cm^{2}$

$315 cm^{2}$

$315 cm^{2}$

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Question 6

Time: 00:00:00

6,8 and 10 are the length of the sides of a triangle, find the inradius of this triangle

2

2

4

4

6

6

8

8

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Question 7

Time: 00:00:00
The sector of a circle has radius of 21 cm and central angle 135degree. Find its perimeter.

108 cm

108 cm

93.5 cm

93.5 cm

107 cm

107 cm

92.5 cm

92.5 cm

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Question 8

Time: 00:00:00
Eight points lie on the circumference of a circle. The difference between the number of triangles and the number of quadilaterals that can be formed by connecting those points is :

14

14

20

20

10

10

12

12

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Question 9

Time: 00:00:00
If a circle is provided with a measure of 19º on centre, is it possible to divide the circle into 360 equal parts ?

Always

Always

Never

Never

Possible when one more measure of 20 degree is given

Possible when one more measure of 20 degree is given

Possible if one more measure of 21 degree is given

Possible if one more measure of 21 degree is given

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Question 10

Time: 00:00:00
There is a triangle building (ABC) located in the heart of delhi .The length of one wall in the east in 397 feet If the length of the south wall (AB) is a perfect cube, the length of south-west wall (AC) is a power of three, and the length of wall in south-west (AC) is thrice the length of side AB, determine the perimeter of this triangular building

3609 feet

3609 feet

3813 feet

3813 feet

3773 feet

3773 feet

3313 feet

3313 feet

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