Question

State true or false for the following statements:

(I) The graph of a line y=-5 never meets the x-axis. (True/False)

(ii)

3 + 2

2 = 5 is a quadratic equation. (True/False)

(iii) The series 1,1,1,2,2,2,3,3,3………. is an A.P. (True/False)

(iv)The coordinates of any point lies on x-axis is (a,0). (True/False)

(v) The value of tanA is always less then 1. (True/False)

(vi) When one solid ‘A’ is melted and recasted into another solid B, then the

volume of solid A and Solid B are equal. (True/False)

(vii)The probability of impossible event is 1. (True/False)

(viii)One and only one tangent can be drawn from an external point on the circle. (True/False)​

Answer 1

Step-by-step explanation:

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Answer 2

SOLUTION

TO DETERMINE

State true or false for the following statements:

(i) The graph of a line y=-5 never meets the x-axis. (True/False)

(ii) x³ + 2x² = 5 is a quadratic equation. (True/False)

(iii) The series 1,1,1,2,2,2,3,3,3………. is an A.P. (True/False)

(iv)The coordinates of any point lies on x-axis is (a,0). (True/False)

(v) The value of tanA is always less then 1. (True/False)

(vi) When one solid ‘A’ is melted and recasted into another solid B, then the volume of solid A and Solid B are equal. (True/False)

(vii)The probability of impossible event is 1. (True/False)

(viii)One and only one tangent can be drawn from an external point on the circle. (True/False)

EVALUATION

(i) The statement is TRUE

The graph of a line y = - 5 is parallel to x axis

Hence it will never meets the x-axis

(ii) The statement is FALSE

A quadratic equation is of the form

ax² + bx + c = 0 ( a ≠ 0 )

Now the highest degree of the variable x in x³ + 2x² = 5 is 3

So the given equation can not be rewritten in the form ax² + bx + c = 0

So x³ + 2x² = 5 is not a quadratic equation

(iii) The statement is FALSE

2nd term - 1st term = 0

4th term - 3rd term = 1

Hence common difference does not exist

Hence The series 1,1,1,2,2,2,3,3,3... is not an A.P

(iv) The statement is TRUE

Since any point on x axis is of the form (x, 0)

Hence the coordinates of any point lies on x-axis is (a,0)

(v) The statement is FALSE

For example tan45° = 1

Hence the value of tanA is not always less then 1

(vi) The statement is TRUE

As we know that Volume is a quantitative property When one solid ‘A’ is melted and recasted into another solid B, then the volume of solid A and Solid B are equal

(vii) The statement is FALSE

The probability of impossible event is 0

Since the total number of possible outcomes for an impossible event is 0

(viii) The statement is FALSE

Since two tangent can be drawn from an external point on the circle.

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