MHT CET 2024 Mathematics question

Not in JEE syllabus

Let p, q and r be the statements p : X is an equilateral triangle q : X is an isosceles triangle r : , then the equivalent statement of r is

(A)If X is not an equilateral triangle, then X is not an isosceles triangle.
(B)X is neither isosceles nor equilateral triangle.
(C)X is isosceles but not an equilateral triangle.
(D)If X is not an isosceles triangle, then X is not an equilateral triangle.Correct

Answer: (D)

Solution

Using , the statement is equivalent to : "If X is an equilateral triangle, then X is an isosceles triangle". Its contrapositive is logically equivalent: "If X is not an isosceles triangle, then

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Question ID VK-096866