Model Exam :1 (Engineering Entrance)

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Chapter : 6

Linear Inequalities

In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality:
< is less than
> is greater than
≤ is less than or equal to
≥ is greater than or equal to
≠ is not equal to
A linear inequality looks exactly like a linear equation, with the inequality sign replacing the equality sign.

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Practicing Entrance Exams: Online/Offline

Chapter 5 : Complex Numbers

A complex number is a number that can be expressed in the form a + ib, where a and b are real numbers and i is the imaginary unit, that satisfies the equation x² = −1, that is, i² = −1. In this expression, a is the real part and b is the imaginary part of the complex number.

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Chapter 4 : Mathematical Induction

Mathematical induction is a method of mathematical proof typically used to establish a given statement for all natural numbers. It is a form of direct proof, and it is done in two steps. The first step, known as the base case, is to prove the given statement for the first natural number. The second step, known as the inductive step, is to prove that the given statement for any one natural number implies the given statement for the next natural number. From these two steps, mathematical induction is the rule from which we infer that the given statement is established for all natural numbers.

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IT Quiz

The Operating System developed by Canonical Ltd is.............

• Windows
• Redhat
• Ubuntu
• Mac OS

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Mental Ability: Test 1

1. Raju is shorter than Gopi but taller than Rahim who is taller than Meena. Who is the shortest of the four ?

• Gopi
• Raju
• Rahim
• Meena

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Chapter 3. Trigonometric Functions

In mathematics, the trigonometric functions (circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.

The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle (a circle with radius 1 unit), where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component).

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Chapter 2. Relations and Functions

A relation is any subset of a Cartesian product. For instance, a subset of A×B, called a "binary relation from A to B," is a collection of ordered pairs (a,b) with first components from A and second components from B, and, in particular, a subset of A×A is called a "relation on A." For a binary relation R, one often writes aRb to mean that (a,b) is in R×R.

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

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Chapter 1. SETS

A set is a collection of distinct objects, considered as an object in its own right. For example, the numbers1, 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written {1,2,4,6}. Sets are one of the most fundamental concepts in mathematics.

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ICT online Quiz

ICT Quiz

1. CCD stands for .................

• Charge Coupled Device
• Charge Control Device
• Computer Control Device
• Character Control Device

2. BCL stands for .......................

• Base Class Library
• Base Class Level
• Basic Combined Level
• Basic Combined Library

Score =

Correct answers:

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Synfig Studio - 2D Animation Lesson 2

ഒരു പക്ഷിയുടെ ചിത്രം Synfig Studio സോഫ്‌റ്റ്‌വെയറില്‍ വരച്ച് , അത് ആകാശത്തിലൂടെ പറന്നുപോകുന്ന സീന്‍ യ്യാറാക്കിനോക്കാം.

 

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Pythagorean Theorem

Pythagorean theorem—or Pythagoras' theorem—is a relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

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Geogebra 4.4 (Latest Version)

ഏറ്റവും പുതിയ ജിയോജിബ്ര (Geogebra 4.4) വേര്‍ഷനില്‍ Perspective മെനുവിനെ Menu bar ല്‍ നിന്നും മാറ്റി ഗ്രാഫിക് വ്യുവിന്റെ വലതു വശത്തെ Sidebar ലേക്ക് മാറ്റിയിട്ടുണ്ട്. വലതു വശത്തെ Sidebar ന്റെ മധ്യത്തിലുള്ള ആരോ അടയാളത്തില്‍ ക്ലിക്ക് ചെയ്താല്‍ Perspective മെനുവിനെ അദൃശ്യമാക്കനും ദൃശ്യമാക്കനും (hide or show) സാധിക്കും. Geogebra 4.0 വേര്‍ഷനിലെ പുതിയ ടൂളുകളായിരുന്ന Complex Number, Create List എന്നിവ കൂടാതെ Freehand Shape എന്ന പ്രധാനപ്പെട്ട മറ്റൊരു ടൂള്‍ കൂടി ഇവിടെ ഉള്‍പ്പെടുത്തിയിട്ടുണ്ട്. 

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