If ∆ABC~∆QRP, AB = 18cm and BC = 15cm, then what is the length of PR?

An aeroplane leaves an airport and flies to north at a speed of 1000 km/hr. At the same time, another aeroplane leaves the same airport and files to west at a speed of 1200 km/hr.

(i) Find the distance covered by first plane in the north direction after 1¹/₂ hours?

(a) 1500 km

(b) 1600 km

(c) 1400 km

(d) 1300 km

(ii) Find the distance covered by second plane in the west direction after 1¹/₂ hours

(a) 1700 km

(b) 1800 km

(c) 1900 km

(d) 2000 km

(iii) How far apart will be the two planes after 1¹/₂ hours?

(a) 300 59 km

(b) 300 63 km

(c) 300 61 km

(d) 300 65 km

(iv) The triangle having an angle of measure 90° is called .............. angle triangle.

(a) Right

(b) obtuse

(c) acute

(d) None of these

(v) If a line is drawn parallel to one side of a triangle to intersect the other two sides indistinct points; the other two sides are divided in the same ratio. This theorem is known as:

(a) Basic Proportionality

(b) Converse of Thales theorem

(c) Pythagoras theorem

(d) Similarity of triangles

Calculate the perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is

OR

The point which divides the line segment joining the points (7, - 6) and (3, 4) in ratio 1:2 internally lies in which quadrant?

If radii of two concentric circles are 4 cm and 5 cm, then find the length of each chord of one circle which is tangent to the other circle.

Divide a line segment of length 9 cm internally in the ratio 4 : 3.