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Show that the statement is true by the method of contradiction. If x is an integer and `x^2` is even, then x is also even.

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Show that the following statement is true by the method of contrapositive. p: If x is an integer and x^2 is even, then x is also even.

Show that the following statement is true by the method of contrapositive r: If is x is an integer and x^2 is even, then x is also even.

Use proof by contradition to prove that if for an integer a, a^2 is even, then so is a.

Write the converse of the following statements. If a number x is even, then x^2 is also even.

Check whether the following statement is true or not : “If x, y in N are such that x and y are even, then xy is even.”

Whether the following statement is true or false? Give a valid reason for saying so. s: If x and y are integers such that x > y, then -x < - y.

Write the set of all integers whose cube is an even integer.

Show that the statement IF x is a real number such that x^3+4x=0 then x is 0 is true by direct method

Show that the statement IF x is a real number such that x^3+4x=0 then x is 0 is true by method of contradiction

Whether the following statement is true or false ? (x: x is an even prime} = {2}.

JBD PUBLICATION-MODEL PAPER (15)-EXERCISE
  1. Compute (98)^5

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  2. Using distance formula, show that the points A(6,-7,1), B(2,-3,1) and ...

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  3. Show that the statement is true by the method of contradiction. If x i...

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  4. Find the component statement of the following and check whether they a...

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  5. Prove that A^c-B^c=B-A.

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  6. If f(x)=log(x/(x-1)), show that f(x+1)+f(x)=log ((x+1)/(x-1))

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  7. Prove that:cos15^@-sin15^@=1/sqrt2

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  8. Prove that : cos 24^@+ cos 55^@ + cos 125^@ + cos204^@ + cos 300^@= 1/...

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  9. How many words, with or without meaning, each of 2 vowels and 3 conson...

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  10. Find the value of n such that : "^nP5=42 ^nP3, n>4.

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  11. Sum of first p,q and r terms of an A.P. are a,b,c respectively. Prove...

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  12. If the angle between two lines is pi/3 and slope of one of the line is...

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  13. If a parabolic reflector is 20 cm in diameter and 50 cm deep. Find the...

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  14. Evaluate: underset(xrarr1)lim ((x+x^2+x^3+……….x^n)-n)/(x-1)

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  15. If y=asinx+bcosx, prove thaty^2+((dy)/(dx))^2=a^2+b^2

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  16. A,B and C are three mutually exclusive and exhaustive events associat...

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  17. Find theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.

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  18. If a + ib = ((x+i)^2)/(2x^2+1), prove that a^2+b^2 =((x^2+1)^2)/((2x^2...

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  19. Solve the following system of inequalities graphically: 4x + 3y le 60,...

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  20. IQ of a person is given by the formula IQ= (MA)/(CA)xx100 , where MA i...

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