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If 3 given points are collinear, then the area of the triangle is zero. For P(x1, y1), Q(x2, y2) and R(x3, y3), the area of the triangle is So, 1/2 X [x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)] = 0 For the given set of points, area of the triangle = (1/2) X [2(a - 7) + 5(7 - 3) + 6(3 - a)] = 0 Or, (1/2) X [2a - 14 + 20 + 18 - 6a] = 0 Or, (1/2) X (24 - 4a) = 12 - 2a = 0 So, 2a = 12 And a = (12/2) = 6
Fill in the blank with an appropriate idiom.
Her husband is such a gem that all her friends tell her that she has ________ with him.
A bolt from the blue
In each of the following questions a statement has been given with highlighted idioms. You are required to choose the meaning of the idioms from the op...
Play it by the ear
A wild goose chase
Fill in the blank given below using the correct idiom.
Despite the obstacles, Jane decided to _______________ and launch her own business.
...Cast Iron Stomach
In each question, four alternatives are given for the Idiom / Phrase highlighted in the sentence. Choose the alternative which best expresses the meani...
Select the most appropriate meaning of the given idiom.
snug as a bug in a rug
The frequent digging of roads and pavements to lay phone and power cables, sewerage, water and gas pipelines can be prevented if authorities ...
