Triangles, Circles and Areas related to circles

• 12

• 13

A flag pole 18 m high casts a shadow 9.6 m long. The distance of the top of the pole from the far end of the shadow is _______

• 204 m

• 21.4 m

• 20.4 m

• 19.4 m

If O is a point on the side PQ of a triangle PQR such that PO = QO = RO, then which of the following is true?

• RO² = PR x QR

• PR² + QR² = PQ²

• QR² = OQ² + QR²

• OP² + OR² = PR²

In the fig if AP = 3 cm, AR = 4.5 cm, AQ = 6 cm, AB = 5 cm and AC = 10 cm, then AD is equal to

• 5.7 cm

• 7.6 cm

• 5.5 cm

• 7.5 cm

• 13/2 cm

• 60/13 cm

• 13/60 cm

• Statement 1 alone is sufficient, but statement 2 alone is not sufficient

• Statement 2 alone is sufficient, but statement 1 alone is not sufficient

• Each statement alone is sufficient

• Statement 1 and 2 together are sufficient but neither alone is sufficient

In the fig PR=

• 20 cm

• 26 cm

• 24 cm

• 28 cm

In the fig two concentric circles of radii 3 cm and 5 cm are given. Then the length of chord BC which touches the inner circle at P is equal to

• 4 cm

• 6 cm

• 8 cm

• 10 cm

If quadrilateral PQRS circumscribes a circle, then x and y are equal to

• 95^o, 95^o

• 100^o, 90^o

• 100^o, 85^o

• 85^o, 90^o

In a right angled triangle ABC, right angled at B, BC = 12 cm and AB = 5 cm. The radius of the circle inscribed in the triangle is

• 4 cm

• 3 cm

• 2 cm

• 1 cm