Question

Assertion (A): The abscissa of a point (5,2) is 5 Reason (R): 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 a correct explanation of Assertion (A) (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A) (c) Assertion (A) is true and Reason (R) is false (d) Assertion (A) is false and Reason (R) is tru​

Answer 1

Given : Assertion (A): The abscissa of a point (5,2) is 5 Reason

(R): The perpendicular distance of a point from y-axis is called its abscissa

To Find ; Correct option

Solution:

Assertion (A): The abscissa of a point (5,2) is 5

True

Basically abscissa is value of x coordinate

Abscissa can be defined as the distance of a point from y-axis along x axis

taken +ve on right side of x axis and taken -ve on left side of x axis.

or

The abscissa of a point is the signed measure of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin . (before: negative; after: positive).

(R): The perpendicular distance of a point from y-axis is called its abscissa

This is not complete and correct definition.

As Distance is always +ve

Perpendicular Distance of both points (5 , 2) and ( - 5, 2) from y axis is 5

(5 , 2)  has abscissa =  5

(-5 , 2)  has abscissa = -5

Assertion   is True

Reason is not True.

Learn More:

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Answer 2

Answer:

B) Both the assertion and reasoning are true but the reason is not the correct explanation of the assertion

Step-by-step explanation:

Assertion: The abscissa of a point (5,2) is 5.

This is true. The abscissa or x coordinate is the first value while reading coordinates. (x,y). Ex : In (2,3) 2 is the abscissa and 3 is the ordinate(y axis).

Reason: The perpendicular distance of a point from y-axis is called its abscissa.

This is also true. As you can make a perpendicular line from the y axis to make an x axis. It can be on any side.

However, the reason does not satisfy the assertion as it does not explain why the abscissa of (5,2) is 5. Therefore it is option B.