NCERT solution Class 11 mathematical reasoning

NCERT Solutions

Class 11 Maths

Mathematical Reasoning

NCERT Questions

Ex.14.1 Q.1
Ex.14.1 Q.2
Ex.14.2 Q.1
Ex.14.2 Q.2
Ex.14.2 Q.3
Ex.14.3 Q.1
Ex.14.3 Q.2
Ex.14.3 Q.3
Ex.14.3 Q.4
Ex.14.4 Q.1
Ex.14.4 Q.2
Ex.14.4 Q.3
Ex.14.4 Q.4
Ex.14.5 Q.1
Ex.14.5 Q.2
Ex.14.5 Q.3
Ex.14.5 Q.4
Ex.14.5 Q.5
Ex.Misc. Q.1
Ex.Misc. Q.2
Ex.Misc. Q.3
Ex.Misc.Q.4
Ex.Misc.Q.5
Ex.Misc.Q.6
Ex.Misc.Q.7

Ex.14.5 Q.5

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

(1) p: Each radius of a circle is a chord of the circle.

(2) q: The centre of a circle bisects each chord of the circle.

(3) r: Circle is a particular case of an ellipse.

(4) s: If x and y are integers such that x > y, then –x < –y.

(5) t: √11 is a rational number.

(1) The given statement p is false.

According to the definition of chord, it should intersect the circle at two distinct points.

(2) The given statement q is false.

If the chord is not the diameter of the circle, then the centre will not bisect that chord.

In other words, the centre of a circle only bisects the diameter, which is the chord of the circle.

(3) The equation of an ellipse is, (x² ÷ a²) + (y² ÷ b²) = 1

If we put a = b = 1, then we obtain x² + y² = 1, which is an equation of a circle.

Therefore, circle is a particular case of an ellipse.

Thus, statement r is true.

(4) x > y

=> –x < –y

[By a rule of inequality]

Thus, the given statement s is true.

(5) 11 is a prime number and we know that the square root of any prime number is an irrational number.

Therefore, √11 is an irrational number.

Thus, the given statement t is false.

Mathematical Reasoning Class 11 Maths NCERT Chapter 14 NCERT Solutions

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NCERT solutions of Mathematical Reasoning Class 11 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Maths Mathematical Reasoning NCERT solutions.