| Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. |
| Assertion If the outer and inner diameter of a circular path is 10 m and 6 m, then area of the path is \[16\,\pi \,{{m}^{2}}\]. |
| Reason If R and r be the radius of outer and inner circular path respectively, then area of path\[=\pi \left( {{R}^{2}}-{{r}^{2}} \right)\]. |
A) A is true, R is true; R is a correct explanation for A.
B) A is true, R is true; R is not a correct explanation for A.
C) A is true; R is false.
D) A is false; R is true.
Correct Answer: A
Solution :
Area of the path \[=\pi \left[ {{\left( \frac{10}{2} \right)}^{2}}-{{\left( \frac{6}{2} \right)}^{2}} \right]\] \[=\pi \left( 25-9 \right)=16\pi {{m}^{2}}\] Both Assertion and Reason are True. Also, Reason is the True explanation of the Assertion.
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