Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion (A): The point $(1,1)$ is the solution of $x+y=2$.
Reason (R): Every point which satisfy the linear equation is a solution of the equation.

A
Both A and R are true and R is the 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

(a) Both A and R are true and R is the correct explanation of A.
Explanation: Putting $(1, 1)$ in the given equation, we have
L.H.S = 1 + 1 = 2 = R.H.S
L.H.S = R.H.S
Hence $(1, 1)$ satisfy the x + y = 2. So it is the solution of x + y = 2.

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MCQ 21 Mark

Assertion $(A) :$ The sides of a triangle are $3 \ cm, 4 \ cm$ and $5 \ cm$ . Its area is $6 \ cm^2$.
Reason $(R) :$ If $2 s=( a + b + c )$, where $a , b , c$ are the sides of a triangle, then area $=\sqrt{(s-a)(s-b)(s-c)}$.

A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
✓
$A$ is true but $R$ is false.
D
$A$ is false but $R$ is true.

Answer

Correct option: C.

$A$ is true but $R$ is false.

$s =\frac{a+b+c}{2}$
$ s =\frac{3+4+5}{2}=6 \ cm$
$\text { Area }=\sqrt{s(s-a)(s-b)(s-c)}$
$=\sqrt{(6)(6-3)(6-4)(6-5)}$
$=\sqrt{(6)(3)(2)(1)}$
$=6 \ cm^2$

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Maths Assertion (A) & Reason (B) MCQ

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