Home
Class 11
MATHS
Show that the statement For any real num...

Show that the statement For any real numbers a and b `a^(2)=b^(2)` implies that `a=b`" is not true by giving a counter example.

Text Solution

Verified by Experts

The correct Answer is:
fals
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE : 14|17 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|18 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise EXERCISE 14.4|12 Videos

  • LIMITS AND DERIVATIVES

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for practice work|35 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Sequence and Series (Fill in the blanks )|48 Videos

Similar Questions

Explore conceptually related problems

If 2 (a ^(2) + b ^(2)) = (a+b)^(2), then show that a =b

True statement about hepatitis B vaccine is

By giving a counter example, show that the following statements are not true. (ii) q: The equation x^(2) - 1 = 0 does not have a root lying between 0 and 2.

Show that the relation R in the set R of real number , defined as R = {(a,b) : a le b^2} is neither reflexive nor symmetric nor transitive.

Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b in Z} . Show that (i) (a,a) in R" for all " a in Q (ii) (a,b) in R implies that (b,a) inR (iii) (a,b) in R and (b,c) in R implies that (a,c) in R

Show that the relation R defined by (a,b) R (c,d) implies a + d = b +c on the set N xxN is an equivalence relation.

For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-3a c)=15 b(3a+c)dot Then :

In Boolean algebra A + B = Y implies that :

If A and B are any two sets, prove that P(A) = P(B) implies A = B.

By giving a counter example, show that the following statements are not true. (i) p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.