11th Std Maths Guide [better] (500+ SIMPLE)

| 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 |

(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.

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

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

(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. | Consumption (units) | 65–85 | 85–105 |

(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?

A tower stands vertically on the ground. From a point on the ground 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. (iii) Find the distance of this line from the origin

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