Question

Assertion : X+y=3 is the equation of the line passing through the origin. Reason: Y=2x is the equation of the line passing through the origin

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

(b) Both assertion and reason are true but reason is not the correct explanation of assertion

c) Assertion is true but reason is false

(d) Assertion is false but reason is true​

Answer 1

Answer:

Assertion is False but reason is true

Answer 2

Option (d) Assertion is false but reason is true is the correct answer.

Solution: Any point on the line satisfies the equation of the line.

In assertion statement, the line given is x+y=3. If the origin lies on the line, (0,0) should satisfy this equation.

LHS= x+y

= 0+0

= 0

RHS= 3

Since LHS is not equal to RHS, the origin does not lie on the line.

In reason statement, the line given is y=2x. If the origin lies on the line, (0,0) should satisfy this equation.

LHS= y

= 0

RHS= 2x

= 2×0

= 0

Since LHS= RHS, the origin lies on the line.