Question

A.
If the pth term of an AP is q and the qth term is p, prove that its nth term is (p+q-n).

B.
A peacock is sitting on the top of a pillar, which is 9m high. From a point 27m away from the bottom of the pillar, a snake is coming to its hole at the base of the pillar. Seeing the snake the peacock pounces on it. If their speeds are equal, at what distance from the hole is the snake caught?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

b)   Let the distance covered by the peacock be AC = x m

Hence the distance covered by the snake is DC = x m

In right ΔABC, by Pythagoras theorem we have

AC2 = AB2 + BC2

x2 = 92 + (27 – x)2

⇒ x2 = 81 + 729 – 54x + x2

⇒ 54x = 810

∴ x = 15