Home
Class 11
MATHS
By giving a counter example, show that t...

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.(ii) q: The equation `x^2-1=0`does not have a root lying between 0

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Exercise 14.1|2 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Exercise 14.2|3 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Exercise 14D|4 Videos
  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|14 Videos
  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|11 Videos

Similar Questions

Explore conceptually related problems

By giving a counter example,show that the following statement is not true: p: if all the angles of a triangle are equal,then the triangle is an obtuse angled triangle.

By giving a counter-example, show that the following statement is false: p: If all the sides of a triangle are equal, then the triangle is obtuse angled.

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

By giving a counter example, show that the following statement are not true : The equation x^(2) - 4 = 0 does not have a root lying between 0 and 3.

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

Write the following statement in five different ways,conveying the same meaning.p: If a mangle is equiangular,then it is an obtuse angled triangle.

By giving counter example , show that the following statements are not true : (I) In n is an odd integer, then n is prime. (ii) The equation x^(2) - 4 =0 does not a root lying between 0 and 3.

By giving counter example show that following statement are false (a) p : Square of a real number is always integer (b) p : The equation x^2-9=0 does not have a root lying between 0 and 4

Which of the following statements are true (T) and which are false (F): Sum of the three angles of a triangle is 180^0 A triangle can have two right angles. All the angles of a triangle can be less than 60^0 All the angles of a triangle can be greater than 60^0 All the angles of a triangle can be equal to 60^0 A triangle can have two obtuse angles. A triangle can have at most one obtuse angles. In one angle of a triangle is obtuse, then it cannot be a right angled triangle. An exterior angle of a triangle is less than either of its interior opposite angles. An exterior angle of a triangle is equal to the sum of the two interior opposite angles. An exterior angle of a triangle is greater than the opposite interior angles