
Sets

Relations and Functions

Trigonometry

Principle of Mathematical Induction

Complex Numbers

Quadratic Equations

Permutations and Combinations

Binomial Theorem

Sequence and Series

Straight Lines

Circles

Limits and Derivatives

Statistics

Probability

Conic Section

Introduction to ThreeDimensional Geometry

Mathematical Reasoning

Correlation Analysis

Index Numbers and Moving Averages
Linear Inequations
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Q1
x > 3 implies that
Marks:1Answer:
x < 3 or x > 3.
Explanation:
If a is a positive real number then
x > a x < a or x > a.

Q2
Rama has Rs 500 and wants to buy some books and pens. The cost of one book is Rs 110 and that of a pen is Rs 20. If ‘x’ denotes the number of books and ‘y’ denotes the number of pens and the total amount spent by him is Rs (110x + 20y), then the linear inequality for this situation will be
Marks:1Answer:
Explanation:

Q3
Rohan wants to cut three lengths from a board of length 91 cm whose second length is to be 3 cm longer than the shortest and third length is to be twice as long as the shortest. The possible lengths for the shortest board if third piece is to be at least 5 cm longer than the second is
Marks:1Answer:
Explanation:

Q4
If the point (x, 2) satisfies the inequality
 4x + 5y ≤ 14, then the smallest possible value of x isMarks:1Answer:
– 1.
Explanation:
Put y = 2 in the given inequality to find the value of x, i.e.,
– 4x + 5 × 2 ≤ 14
– 4x ≤ 4
x ≥ – 1 
Q5
Inequalities x  2y  2 graphically represented by two dimensional plane, is
Marks:1Answer:
Explanation:
Firstly considering only x  2y=  2, and then plotting a straight line, then using one point check method, complete area can be plotted.