Q1.Assertion : Point (4, -2) lies in IV quadrant.
Reason : The perpendicular distance of a point from y-axis is called its abscissa.
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
2. Assertion: The abscissa of a point (5, 2) is 5.
Reason: The perpendicular distance of a point from y-axis is called its abscissa.
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
3. Assertion : The point (2, 2) is the solution of x + y = 4.
Reason : Every point which satisfy the linear equation is a solution of the equation. Ans: We know every point
which satisfy the linear equation is a solution of the equation.
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true
4. Assertion : The graph of the linear equation 2x — y = 1 passes through the point (2, 3).
Reason : Every point lying on graph is not a solution of 2x — y = 1.
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
5. Assertion : y = 3 represents a line passing through the origin.
Reason : Any line parallel to the x-axis is y = a.
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true
Answers
Step-by-step explanation:
SOLUTION
TO EVALUATE
To choose the correct option
EVALUATION
ANSWER TO QUESTION : 1
Assertion : Point (4, -2) lies in IV quadrant.
Since for the point (4, - 2)
- Abscissa = 4 which is positive
- Ordinate = - 2 which is negative
So the point lies in IV quadrant.
- So Assertion is correct
Reason : The perpendicular distance of a point from y-axis is called its abscissa
We know that the perpendicular distance of a point from y-axis is called its abscissa
So Reason is correct
But reason (R) is not the correct explanation of assertion (A).
Hence the correct option is
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
ANSWER TO QUESTION : 2
Assertion: The abscissa of a point (5, 2) is 5.
We know that for any given point (a, b)
- Abscissa = x - coordinate = a
So the abscissa of a point (5, 2) is 5.
So Assertion is correct
Reason: The perpendicular distance of a point from y-axis is called its abscissa.
We know that the perpendicular distance of a point from y-axis is called its abscissa
So Reason is correct
- Also reason (R) is the correct explanation of assertion (A).
Hence the correct option is
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
ANSWER TO QUESTION : 3
Assertion : The point (2, 2) is the solution of x + y = 4.
Since 2 + 2 = 4
So the point (2,2) satisfies the equation x + y = 4.
Thus point (2, 2) is the solution of x + y = 4.
So Assertion is correct
Reason : Every point which satisfy the linear equation is a solution of the equation
We know that every point which satisfy the linear equation is a solution of the equation
So reason (R) is the correct
Also reason (R) is the correct explanation of assertion (A).
Hence the correct option is
- (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)
ANSWER TO QUESTION : 4
Assertion : The graph of the linear equation 2x - y = 1 passes through the point (2, 3).
Since ( 2 × 2 ) - 3 = 4 - 3 = 1
So the point (2,3) satisfies the equation 2x - y = 1
Thus point (2, 3) is the solution of 2x - y = 1
So Assertion is correct
Reason : Every point lying on graph is not a solution of 2x - y = 1.
We know that every point which satisfy the linear equation is a solution of the equation
So Reason is not correct
Hence the correct option is
(c) Assertion (A) is true but reason (R) is false.
ANSWER TO QUESTION : 5
Assertion : y = 3 represents a line going through the origin.
We know that the general equation of any line going through origin is of the form ax + by = 0
The given equation is y = 3
Which can not be rewritten in the form ax + by = 0
More precisely y = 3 represents the equation line parallel to the x-axis
- So Assertion is not correct
Reason : Any line parallel to the x-axis is y = a.
We know that any line parallel to the x-axis is y = a
Also the given equation is y = 3
Which is of the form y = a
- So reason (R) is true
Hence the correct option is
(d) Assertion (A) is false but reason (R) is true