If a vertical stick 12 m long casts a shadow 8 m long on the ground and at the same time a tower casts a shadow 40 m long on the ground, then the height of the tower is
40 m
50 m
75 m
60 m
If tangents PA and PB from a point P to a circle with center O are inclined to each other an angle of 80°, then POA is equal to
50°
60°
70°
80°
If AB, AC,PQ are tangent as in figure and AB = 5 cm, find the perimeter of ΔAPQ
5 cm
10 cm
15 cm
20 cm
In the given figure, if TP and TQ are the two tangents to a circle with center O so that POQ = 110°, then PTQ is equal to
90°
If P is a point outside the circle, then the number of tangents from P to the circle is
0
1
2
3
ABC and BDE are two equilateral triangles such that D is the mid point of BC. Ratio to the area of triangles ABC and BDE is
2 : 1
1 : 2
4 : 1
1 : 4
From a point P, the length of the tangent to a circle is 15 cm and distance of P from the center of the circle is 17 cm. Then the radius of the circle is
8 cm
6 cm
4 cm
Which of the following are similar?
All circles
A circle and a square
A square and a rectangle
All the above
Which of the following statement is false?
All congruent figures are similar
All similar figures are congruent
Equivalent triangles are similar
All the rectangles are not similar
Sides of two similar triangles are in the ratio 4 : 9. Areas of those triangles are in the ratio
2 : 3
4 : 9
81 : 16
16 : 81