JEE Main Mathematics question

MathematicsStraight LinesJEE Main

Consider the following statements: I. If , then the two triangles with vertices , , and , , must be congruent. II. Only one straight line can be drawn through the origin at equal distance from the points and . Which of these is/are correct

Answer: (D)

Solution

Statement I: equal determinants mean equal areas, but triangles of equal area need not be congruent (for example and both have area ), so I is false. Statement II: a line through the origin

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Question ID VK-024416