| 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 In the figure, O is the centre of a circle. The area of sector OAPB is \[\frac{5}{18}\]of the area of the circle, then the value of x is \[100{}^\circ \]Reason Length of an arc of a circle with radius r and central angle \[\theta \] is given by \[l=\frac{\theta }{360{}^\circ }\times \pi {{r}^{2}}\]. |
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: C
Solution :
Area of sector \[OAPB=\frac{x}{360{}^\circ }\times \pi {{r}^{2}}\] \[\Rightarrow \,\,\frac{x}{360{}^\circ }\times \pi {{r}^{2}}=\frac{5}{18}\pi {{r}^{2}}\] \[\Rightarrow \,\,\frac{x}{360{}^\circ }=\frac{5}{18}\Rightarrow \,x=100{}^\circ \]
You need to login to perform this action.
You will be redirected in
3 sec
