Podcast
Questions and Answers
What is the equation of a circle in standard form?
What is the equation of a circle in standard form?
x² + y² = r²
What is the centre of the circle x² + y² + 2gx + 2fy + c = 0?
What is the centre of the circle x² + y² + 2gx + 2fy + c = 0?
(-g, -f)
What is a vector whose magnitude is unity called?
What is a vector whose magnitude is unity called?
A unit vector
What is the equation of the line passing through (-8, 5) having slope undefined?
What is the equation of the line passing through (-8, 5) having slope undefined?
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A function f is said to be even if...
A function f is said to be even if...
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What is the shortest distance between the lines 12x + 5y - 6 = 0 and 12x + 5y + 12 = 0?
What is the shortest distance between the lines 12x + 5y - 6 = 0 and 12x + 5y + 12 = 0?
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What is the value of [k i j]?
What is the value of [k i j]?
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If y = sin 2x, then what is the value of y'?
If y = sin 2x, then what is the value of y'?
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What is the eccentricity of the ellipse?
What is the eccentricity of the ellipse?
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If y = e^(2x), then what is the value of y'?
If y = e^(2x), then what is the value of y'?
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Study Notes
Youth Academy
- The Youth Academy is run by Usama Khalid Kamboh and provides guess papers, notes, and test series for students.
- The academy is located in Shakhkot and offers online support programs for 9th, 10th, 11th, and 12th-grade students.
- The academy has a YouTube channel and provides paid services for students.
Math Concepts
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MCQs
- Encircle the correct option for each question.
- Questions cover various math concepts, including algebra, geometry, trigonometry, and more.
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Objective Type
- Questions cover topics such as linear inequalities, quadratic equations, and functions.
- Each question has four options, and the correct answer is marked with a symbol.
Math Topics
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Linear Inequalities
- Concepts include graphical representation, solution region, and linear programming.
- Inequalities can be represented on a graph, and the solution region can be found by shading the correct area.
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Quadratic Equations
- Concepts include quadratic formula, roots, and graphs of quadratic equations.
- Quadratic equations can be solved using the quadratic formula, and their graphs can be sketched.
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Functions
- Concepts include domain, range, and composite functions.
- Functions can be represented algebraically, and their domains and ranges can be found.
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Trigonometry
- Concepts include trigonometric identities, equations, and graphs of trigonometric functions.
- Trigonometric identities can be used to solve equations, and graphs of trigonometric functions can be sketched.
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Geometry
- Concepts include points, lines, and circles.
- Circles can be represented algebraically, and their centers, radii, and equations can be found.
Test Series
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120 Question Test
- Covers various math concepts, including algebra, geometry, trigonometry, and more.
- Each question has four options, and the correct answer is marked with a symbol.
Contact Information
- WhatsApp: 0342-1016201, 0347-2782177
- YouTube Channel: Youth Academy### Circles
- The equation of a circle is x² + y² = r²
- The centre of a circle in the form x² + y² + 2gx + 2fy + c = 0 is (-g, -f)
Vectors
- A vector whose magnitude is unity is called a unit vector
Linear Equations
- ax + b = 0 is a linear equation
- The line joining the centre of a circle to the midpoint of a chord is perpendicular to the chord
Functions
- A function f is said to be even if f(-x) = f(x)
Optimization
- To find the optimal solution, we evaluate the objective function at the boundary points
- The procedure for determining the optimal solution for a problem involving linear constraints is called the graphical method
Trigonometry
- The equation of a line passing through (-8, 5) having an undefined slope is x = -8
- If y = sin(2x), then y' = 2cos(2x)
Inequalities
- x = 5 is the solution of the inequality 2x - 3 > 0
Ellipse
- The eccentricity of an ellipse is a value between 0 and 1
- The equation of an ellipse can be written in the form x²/a² + y²/b² = 1
Matrices
- The value of [k i j] is 1
Hyperbola
- The eccentricity of a hyperbola is greater than 1
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Description
A math quiz for students of 9th to 12th grade, covering various topics. Test your skills and knowledge with these questions. Prepare for your exams with Youth Academy's guess papers, notes, and test series.
