MHT CET 2025 Mathematics question

Not in JEE syllabus

The negation of the statement "The triangle is an equilateral or isosceles triangle and the triangle is not isosceles and it is right angled"

(A)The triangle is not an equilateral or not an isosceles triangle or it is not an isosceles or it is not right angled
(B)The triangle is not an equilateral triangle or not isosceles triangle and it is isosceles or it is not right angled
(C)If the triangle is an equilateral triangle or an isosceles triangle then it is an isosceles triangle or not right angledCorrect
(D)If the triangle is an equilateral triangle or an isosceles triangle then it is not isosceles triangle and it is not right angled

Answer: (C)

Solution

Let E = "equilateral", I = "isosceles", R = "right angled". The statement is . By De Morgan's laws its negation is . Using this is exactly : "If the triangle is equilateral or isosceles then it is

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Question ID VK-102865