CBSE 11th Standard Maths Subject Mathematical Reasoning Ncert Exemplar 2 Marks Questions 2021
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CBSE 11th Standard Maths Subject Mathematical Reasoning Ncert Exemplar 2 Marks Questions 2021
11th Standard CBSE
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Reg.No. :
Mathematics
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Rewrite the following statements in the form of conditional statements
Mohan will be a good student if he studies hard.(a) -
Rewrite the following statements in the form of conditional statements.
Ramesh will get dessert only if he eats his dinner.(a) -
Rewrite the following statements in the form of conditional statements
A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.(a) -
Write the converse of the following statements.
If x < y, then x + 5 < y+ 5.(a) -
Write the converse of the following statements.
If ABC is an equilateral triangle, then ABC is an isosceles triangle.(a) -
Write the negative of the following statements.
Paris is in France and London is in England.(a) -
Write the negative of the following statements.
2 + 3 = 5 and 8 < 10.(a) -
Write down the converse of the following statements.
If the sum of squares of two sides of a triangle, then the triangle is right angled.(a)If the triangle is right angled, then the sum of squares of two sides of a triangle is equal to the square of third side.
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Write down the converse of the following statements.
If you go to Agra, then you must visit Taj Mahal.(a)If you must visit Taj Mahal, then you go to Agra.
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Write down the contrapositive of the following statements.
If all three sides of a triangle are equal, then the triangle equilateral.(a)
2 Marks
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CBSE 11th Standard Maths Subject Mathematical Reasoning Ncert Exemplar 2 Marks Questions 2021 Answer Keys
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The given statement is of the form "q if p", where
p : Mohan studies hard.
q : He will be a good students.
It is an equivalent form of the statement "if p then q". So the equivalent formulation of the given statement is "if Mohan studies hard, then he will be a good student".
(Here, note that in p, he is replaced by Mohan and in q, Mohan is replaced by he.) -
The given statement is of the form "p only if q" which is an equivalent form of the statement "if p then q". So the equivalent formulation of the given statement is "If Ramesh eats his dinner, then he will get dessert".
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The statement is of the form "p" is sufficient fo "q" where
p : Tara goes to the Rashtrapati Bhawan
q : She visit New Delhi
which is an equivalent form of "if p, then q", so the equivalent formulation of the given statement is "If Tara goes to the Rashtrapati Bhawan, then She visit New Delhi". -
Let p : x < y and q : x + 5 < y + 5.
Then, converse of p \(\Rightarrow \) q is q \(\Rightarrow \) p i.e. 'If x + 5 < y + 5, then x < y'. -
The converse of the given statements is 'if ABC is an isosceles triangle, then ABC is an equilateral triangle'.
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Let p : Paris is in France.
and q : London is in England.
Now, \(\sim p\) : Paris is not in France
and \(\sim q\) : London is not in England.
So, negative of \(p\wedge q\) is Paris is not in France or London is not in England. \(\left[ \because \sim \left( p\wedge q \right) =\sim p\wedge \sim q \right] \) -
Let p : 2 + 3 = 5 and q : 8 < 10
Now, \(\sim p\) : 2 + 3 \(\neq \) 5 and \(\sim q\): 8 \(\nless \) 10
Then, the negation of \(p\wedge q\) is
\(\sim p\wedge q\equiv \sim p\vee \sim q\) : 2 + 3 \(\neq \) 5 or 8 \(\nless \) 10 -
If the triangle is right angled, then the sum of squares of two sides of a triangle is equal to the square of third side.
If the triangle is right angled, then the sum of squares of two sides of a triangle is equal to the square of third side.
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If you must visit Taj Mahal, then you go to Agra.
If you must visit Taj Mahal, then you go to Agra.
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If the triangle is not equilateral, then all three sides of the triangle are not equal.
2 Marks