Geometry

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In the given figure, if AD is the bisector of ∠CAE and AB =12 cm, AC = 8 cm, BC = 16 cm, then, CD = ?
 AED = ∠B, then find the value of x

26 cm
no
32 cm
yes
28 cm
no
34 cm
no
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In the given figure ∠AED = ∠B, then find the value of x

12
no
15
no
14
yes
16
no
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If PQ||RS,  RPQ = 65º and YXR = 38º, then find the value of RYX.


34º
no
27º
yes
26º
no
29º
no
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There are three parallel straight lines. Two points A and B are marked on the first line, points C and D are marked on the second line, and points E and F are marked on the third line. Each of these 6 points can move to any position on its respective straight line. 
Consider the following statements:
1. The maximum number of triangles that can be drawn by joining these points is 18.
2. The minimum number of triangles that can be drawn by joining these points is zero.
Which of the statements given above is/are correct?
1 only
no
2 only
yes
Both 1 and 2
no
Neither 1 nor 2
no
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A rectangle has a perimeter of 50 meters. If its length is 13 meters more than its breadth, then its area is......
124 m2
no
144 m2
no
114 m2
yes
104 m2
no
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If the angles of a triangle are in the ratio of 4:3:2, then the triangle.........
Is obtuse
no
Has one angle greater than 80°
no
Is a right triangle
no
Acute
yes
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At a given time, two players are standing on a play-field. The cartesian coordinates of their locations are (20, 60) and (-40, -20) units. What is the distance between players?
60 units
no
80 units
no
100 units
yes
140 units
no
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The area of an ellipse is twice that of a circle. The major diameter of the ellipse is twice that of the minor diameter. The radius of the circle is.......
50% of minor diameter of the ellipse
yes
50% of major diameter of the ellipse
no
Minor diameter of the ellipse
no
Major diameter of the ellipse
no
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Ratio of the areas of a square and a circle is 14:99. What is the ratio of the perimeter of the square to the circumference of circle?
44:69
no
14:33
yes
88:21
no
Can not be determined
no
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A big rectangular plot of area 4320 m2 is divided into 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to the longer side of the original plot such that no area of the plot was left surplus. What are the dimensions of the original plot?
160 m x 27 m
no
240 m x 18 m
no
120 m x 36 m
yes
135 m x 32 m
no
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