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.

✓
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

Correct option: A.

Both A and R are true and R is the correct explanation of A.

(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 side of an equilateral triangle is $6 \ cm$ then the height of the triangle is $9 \ cm$.
Reason $(R)$ : The height of an equilateral triangle is $\frac{\sqrt{3}}{2} a$.

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.
✓
$A$ is false but $R$ is true.

Answer

Correct option: D.

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

$A$ is false but $R$ is true.
The height of the triangle,
$ h =\frac{\sqrt{3}}{2} a$
$9=\frac{\sqrt{3}}{2} a$
$a =\frac{9 \times 2}{\sqrt{3}}=\frac{18}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$
$=\frac{18 \sqrt{3}}{3}=6 \sqrt{3} \ cm$

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Maths Assertion (A) & Reason (B) MCQ

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