Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Triangles

Long Answer Type

221. In the given Fig, O is a point in the interior of a triangle ABC, OD ⊥ BC,OE ⊥ AC and OF ⊥ AB. Show that
(i) OA² + OB² + OC² - OD² - OE² - OF² = AF² + BD² + CE^2,(ii) AF² + BD² + CE² = AE² + CD² + BF².

1753 Views

Short Answer Type

222.
A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.

Let AC is the ladder C is the foot of the ladder, such that AC = 10 m, A is the position of the window and AB is the wall.
Now, in right triangle ABC,
AC² = AB² + BC²[Using Pythagoras theorem]
⇒ BC² = AC² - AB²= (10)² - (8)²= 100 - 64 = 36
⇒ BC = 6 m
Hence, the distance of the foot of the ladder from base of the wall = 6 m.

139 Views

223. A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

136 Views

Long Answer Type

224. An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after

1 1 half hours ?

132 Views

225.

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.

156 Views