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

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

In triangles ABC and DEF, B = E,  C = F, then

Which of the following statement is false?

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

In ΔPQR, RS is a bisector of

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

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

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

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.