Question

Assertion (A) : The coordinates (a,-a) satisfy the linear equation x + y = 0. Reasoning (R): Each point on a line corresponds to one coordinate on x axis and one coordinate on y axis *

(a)Both A and R are true and R is correct explanation of A
(b)Both A and R are true but R is not the correct explanation of A
(c)A is true but R is false
(d)A is false but R is true

Answer 1

Given : Assertion (A) : The coordinates (a,-a) satisfy the linear equation x + y = 0.

Reasoning (R): Each point on a line corresponds to one coordinate on x axis and one coordinate on y axis  

To Find :  (a)Both A and R are true and R is correct explanation of A

(b)Both A and R are true but R is not the correct explanation of A

(c)A is true but R is false

(d)A is false but R is true

Solution:

Assertion (A) : The coordinates (a,-a) satisfy the linear equation x + y = 0.

=> a + (-a) = 0

=> 0 = 0

Hence The coordinates (a,-a) satisfy the linear equation x + y = 0.

so Assertion (A) : is TRUE

Reasoning (R): Each point on a line corresponds to one coordinate on x axis and one coordinate on y axis  

TRUE

But this is not the correct explanation of Assertion as its not given that   point (a , -a ) lies on the line

(b)Both A and R are true but R is not the correct explanation of A

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