Std Maths Guide Repack: 11th

A line passes through the points ( A(1,2) ) and ( B(3,6) ).

| 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 |

The following frequency distribution gives the monthly consumption of electricity of 68 consumers: 11th std maths guide

(i) Find the slope of the line. (ii) Write the equation of the line in intercept form. (iii) Find the distance of this line from the origin. | Section | Marks per Q | No. of Qs | Total Marks | |---------|-------------|-----------|--------------| | A (MCQ) | 1 | 20 | 20 | | B (VSA) | 2 | 5 | 10 | | C (SA) | 3 | 6 | 18 | | D (LA) | 5 | 4 | 20 | | E (Case) | 4 | 3 | 12 | | Total | | 38 Qs | 80 | This paper covers all major 11th-grade topics , includes conceptual, calculation, proof, and application-based questions , and follows board exam pattern for effective preparation.

(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) )

(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?

(i) Find the median class. (ii) Calculate the median monthly consumption. (iii) Why is median preferred over mean in such data? (ii) Write the equation of the line in intercept form

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