Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion (A): The equation of 2x + 5 = 0 and 3x + y = 5 both have degree 1.
Reason (R): The degree of a linear equation in two variables is 2.

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

(c) A is true but R is false.
Explanation: Every linear equation has degree 1.
$2 x+5=0$ and $3 x+y=5$ are linear equations. So, both have degree 1 .

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MCQ 21 Mark

Assertion $(A):$ The sides of a triangle are in the ratio of $25: 14: 12$ and its perimeter is $510 \ cm .$ Then the area of the triangle is $4449.08 \ cm^2$.
Reason $(R):$ Perimeter of a triangle $=a+b+c$, where $a, b, c$ are sides of a triangle.

✓
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
$R$ is not the correct explanation of $A.$
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 $A$.

$510 = a + b + c$
$510=25 x+14 x+12 x$
$510=51 x$
$x=10$
Three side of the triangle are
$25 x =25 \times 10=250 \ cm$
$14 x =14 \times 10=140 \ cm$ and
$12 x =12 \times 10=120 \ cm$
$s =\frac{250+140+120}{2}=255 \ cm$
Area $=\sqrt{255 \times 5 \times 115 \times 135}$
$=4449.08 \ cm^2$

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Maths Assertion (A) & Reason (B) MCQ

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