NDA 2021 Mathematics question

Consider the following statements in respect of the points , and : 1. The points lie on a straight line. 2. The points always lie in the first quadrant only for any value of and . Which of the above statements is/are correct?

(A)1 onlyCorrect
(B)2 only
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (A)

Solution

Statement 1: For each point the ordinate is 3 less than the abscissa: gives ; gives ; gives . So all three points lie on the line and are collinear. Statement 1 is

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Question ID VK-033552