A(2, 7), B(4, -1), C(-2, 6) AB = √ (4 + 64) = √ 68 BC = √ (36 + 49) = √ 85 AC = √ (16+1) = √ 17 We see that AB² + AC² = BC² (follows Pythagoras theorem) ⇒ The triangle is a right triangle at A(2, 7).
If the first term of a geometric progression (GP) is 12 and the common ratio is 4, then find the sum of its 4 terms.
22 44 176 1078 8448
...In a certain pond, there are 60 more crabs than fish. Unfortunately, 20% of the crabs have perished. Additionally, the pond has welcomed 80 new fish. As...
Divide 45 into 4 parts such that if the first is increased by 2, the second is decrease by 2, the third is multiplied by 2 and the fourth divided by 2, ...
Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater nu...
15 15 60 540 8650
...If 6 is to 216 as 2 is to:
A farmer has 1457 cows and 3055 buffaloes. He wants to graze them in minimum number of groups in such a way that each group has only one type of animal ...
When 1062, 1134 and 1182 are divided by the greatest number x, the remainder in each case is y. What is the value of (x – y) ?
How many terms are there in the geometric progression 7, 14, 28, ......, 14336?
