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Write down the contrapositive of the following statements:
If x is a real number such that 0 < x < 1, then x2 < 1.
Concept: undefined >> undefined
Write down the converse of following statements:
If a rectangle ‘R’ is a square, then R is a rhombus.
Concept: undefined >> undefined
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Write down the converse of following statements:
If today is Monday, then tomorrow is Tuesday.
Concept: undefined >> undefined
Write down the converse of following statements:
If you go to Agra, then you must visit Taj Mahal.
Concept: undefined >> undefined
Write down the converse of following statements:
If the sum of squares of two sides of a triangle is equal to the square of third side of a triangle, then the triangle is right-angled.
Concept: undefined >> undefined
Write down the converse of following statements:
If all three angles of a triangle are equal, then the triangle is equilateral.
Concept: undefined >> undefined
Write down the converse of following statements:
If x : y = 3 : 2, then 2x = 3y.
Concept: undefined >> undefined
Write down the converse of following statements:
If S is a cyclic quadrilateral, then the opposite angles of S are supplementary
Concept: undefined >> undefined
Write down the converse of following statements:
If x is zero, then x is neither positive nor negative.
Concept: undefined >> undefined
Write down the converse of following statements:
If two triangles are similar, then the ratio of their corresponding sides are equal.
Concept: undefined >> undefined
Using contrapositive method prove that if n2 is an even integer, then n is also an even integers.
Concept: undefined >> undefined
The contrapositive of the statement “If 7 is greater than 5, then 8 is greater than 6” is ______.
Concept: undefined >> undefined
The converse of the statement “If x > y, then x + a > y + a” is ______.
Concept: undefined >> undefined
The converse of the statement “If sun is not shining, then sky is filled with clouds” is ______.
Concept: undefined >> undefined
The contrapositive of the statement “If p, then q”, is ______.
Concept: undefined >> undefined
The statement “If x2 is not even, then x is not even” is converse of the statement ______.
Concept: undefined >> undefined
The contrapositive of statement ‘If Chandigarh is capital of Punjab, then Chandigarh is in India’ is ______.
Concept: undefined >> undefined
Find the variance and standard deviation for the following data: 57, 64, 43, 67, 49, 59, 44, 47, 61, 59
Concept: undefined >> undefined
Calculate variance of the following data:
| Class interval | Frequency |
| 4 – 8 | 3 |
| 8 – 12 | 6 |
| 12 – 16 | 4 |
| 16 – 20 | 7 |
Mean `(barx) = (f_ix_i)/(f_i) = (3 xx 6 + 6 xx 10 + 4 xx 14 + 7 xx 18)/20` = 13
Concept: undefined >> undefined
Calculate mean, variation and standard deviation of the following frequency distribution:
| Classes | Frequency |
| 1 – 10 | 11 |
| 10 – 20 | 29 |
| 20 – 30 | 18 |
| 30 – 40 | 4 |
| 40 – 50 | 5 |
| 50 – 60 | 3 |
Concept: undefined >> undefined
