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
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
10 cm
Which of the following are similar?
All circles
A circle and a square
A square and a rectangle
All the above
If two triangles are similar such that ratio of their areas is 25 : 361. Then ratio of corresponding medians is
5 : 19
1 : 6
5 : 29
15 : 19
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the center is 25 cm. The radius of the circle is
7 cm
12 cm
15 cm
24.5 cm
In ΔPQR, RS is a bisector of
2 cm
3 cm
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
In ΔABC, DE is || to BC, meeting AB and AC at D and E. If AD = 3 cm, DB = 2 cm and AE = 2.7 cm, then AC is equal to
6.5 cm
4.5 cm
3.5 cm
5.5 cm
If a straight line intersects the sides AB and AC of a ΔABC at D and E respectively and is parallel to BC, then
Determine the length of a tangent to a circle with radius 5 cm, drawn from a point at a distance of 13 cm, from the center of the circle.
13 cm
14 cm
