Which of the following statements are true and which are false? In eac

1.	Which of the following statements are true and which are false? In each case give a valid reason for your answer. (i) p: √11 is an irrational number. (ii) q: Circle is a particular case of an ellipse. (iii) r: Each radius of a circle is a chord of the circle. (iv) s: The centre of a circle bisects each chord of the circle. (v) t: If a nd b are integers such that a<b, then −a<−b. (vi) u: The quadratic equation x2+x+1=0 has no real roots.
Answer» Which of the following statements are true and which are false? In each case give a valid reason for your answer. (i) p: $\sqrt{11}$ is an irrational number. (ii) q: Circle is a particular case of an ellipse. (iii) r: Each radius of a circle is a chord of the circle. (iv) s: The centre of a circle bisects each chord of the circle. (v) t: If a nd b are integers such that $a < b$ , then $- a < - b .$ (vi) u: The quadratic equation $x^{2} + x + 1 = 0$ has no real roots.

Which of the following statements are true and which are false? In each case give a valid reason for your answer. (i) p: √11 is an irrational number. (ii) q: Circle is a particular case of an ellipse. (iii) r: Each radius of a circle is a chord of the circle. (iv) s: The centre of a circle bisects each chord of the circle. (v) t: If a nd b are integers such that a<b, then −a<−b. (vi) u: The quadratic equation x2+x+1=0 has no real roots.

Answer»

Which of the following statements are true and which are false? In each case give a valid reason for your answer.

(i) p: $\sqrt{11}$ is an irrational number.

(ii) q: Circle is a particular case of an ellipse.

(iii) r: Each radius of a circle is a chord of the circle.

(iv) s: The centre of a circle bisects each chord of the circle.

(v) t: If a nd b are integers such that $a < b$ , then $- a < - b .$

(vi) u: The quadratic equation $x^{2} + x + 1 = 0$ has no real roots.