11th Std Maths Guide | Validated |

(i) Find ( \lim_x \to 2 f(x) ). (ii) Is ( f(x) ) continuous at ( x = 2 )? Justify. (iii) Redefine the function to make it continuous.

A line passes through the points ( A(1,2) ) and ( B(3,6) ). 11th std maths guide

A function is defined as: [ f(x) = \begincases \fracx^2 - 4x - 2, & x \neq 2 \ 4, & x = 2 \endcases ] (i) Find ( \lim_x \to 2 f(x) )

(i) Draw a neat diagram and represent the situation. (ii) Find the height of the tower. (iii) If the angle of elevation becomes 30°, how far is the point from the tower? (iii) Redefine the function to make it continuous

(i) Find the median class. (ii) Calculate the median monthly consumption. (iii) Why is median preferred over mean in such data?

The following frequency distribution gives the monthly consumption of electricity of 68 consumers:

| Consumption (units) | 65–85 | 85–105 | 105–125 | 125–145 | 145–165 | 165–185 | 185–205 | |---------------------|-------|--------|---------|---------|---------|---------|---------| | No. of consumers | 4 | 5 | 13 | 20 | 14 | 8 | 4 |