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प्रश्न
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
p: Each radius of a circle is a chord of the circle.
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उत्तर
The given statement p is false.
According to the definition of chord, it should intersect the circle at two distinct points.
संबंधित प्रश्न
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
q: The centre of a circle bisects each chord of the circle.
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
r: Circle is a particular case of an ellipse.
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
s: If x and y are integers such that x > y, then –x < –y.
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
t`sqrt11` is a rational number.
Check the validity of the statements given below by the method given against it.
p: The sum of an irrational number and a rational number is irrational (by contradiction method).
Check the validity of the statements given below by the method given against it.
q: If n is a real number with n > 3, then n2 > 9 (by contradiction method).
Write the following statement in five different ways, conveying the same meaning.
p: If triangle is equiangular, then it is an obtuse angled triangle.
Prove the following statement by contradication method.
p: The sum of an irrational number and a rational number is irrational.
