Question

Assertion (A): The points(-3,5) and (5,-3) are at different positions in the coordinate plane. Reason(R): if x is not equal to y then the position of (x,y) in the cartesian plane is different from the position of (y,x) *
Assertion (A) is false but reason (R) is true.
Assertion (A) is true but reason (R) is false.
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion
Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).​

Answer 1

SOLUTION

GIVEN

Assertion (A): The points(-3,5) and (5,-3) are at different positions in the coordinate plane.

Reason(R): if x is not equal to y then the position of (x,y) in the cartesian plane is different from the position of (y,x)

TO CHOOSE THE CORRECT OPTION

• Assertion (A) is false but reason (R) is true.

• Assertion (A) is true but reason (R) is false.

• Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion

• Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

EVALUATION

Assertion (A) :

The points(-3,5) and (5,-3) are at different positions in the coordinate plane.

For the point (-3,5)

Abscissa = - 3 & ordinate = 5

The point lies is 2nd quadrant

For the point (5,-3)

Abscissa = 5 & ordinate = - 3

The point lies is 4th quadrant

Since 5 ≠ - 3

So the points(-3,5) and (5,-3) are at different positions in the coordinate plane.

So Assertion (A) is correct

Reason(R) :

If x is not equal to y then the position of (x,y) in the cartesian plane is different from the position of (y,x)

We know that two point (a, b) & (c, d) are the same point iff a = c , b = d

So if x is not equal to y then the position of (x,y) in the cartesian plane is different from the position of (y,x)

Therefore Reason(R) is correct

Also reason (R) is the correct explanation of assertion

FINAL ANSWER

Hence the correct option is

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion

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