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In ΔXYZ, if G is the centroid and XL is the median with length 18 cm, then the length XG is:


1. 12 cm
2. 10 cm
3. 14 cm
4. 16 cm

Which of the following statements is false?
1. All equilateral triangles are similar
2. All 30° – 60° – 90° triangles are similar
3. All 45° – 45° – 90° triangles are similar
4. All isosceles triangles are similar

If the angles of a triangle are in the ratio 4 : 5 : 6, find the value of the smallest angle?

A. 36°

B. 48°

C. 12°

D. 24°


1. B
2. D
3. A
4. C

The perimeter of a rectangle whose one side measure 20 m and the diagonal is 29 m 

(a) 82 m (b) 78 cm (c) 98 m (d) 88 m

In an isosceles right-angled triangle, the perimeter is 30 m. Find its area (Approximate)
1. 38.63 m2
2. 40  m2
3. 39.60 m2
4. 37.86 m2

If any one of the angles of the isosceles triangle is the right angle then the square of longest side will be?
1. Twice to shorter side
2. Half of shorter side
3. Equal to shorter side
4. None of these

If angles of a triangle are in a ratio of 2 : 3 : 4, then find the greatest angle.
1. 60°
2. 80°
3. 90°
4. 120°

The angles of a triangle are in the ratio of 3 : 4 : 8. The triangle is
1. obtuse angled
2. right angled
3. acute angled
4. isosceles

Find the distance of the point (-13, 4) from the equation of the line 20x + 21y + 2 = 0?


1. 4 unit 
2. 5 unit 
3. 6 unit
4. 7 unit

Find the angle between given lines:

y – √3x = 2 and \(\frac{1}{{\surd 3}}\)x – y = –4 


1. 0° 
2. 30° 
3. 45° 
4. 60° 
5. None of the above/ More than one of the above.

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