Podcast
Questions and Answers
What is the equation of the tangent line at the origin for the curve y = x² - x?
What is the equation of the tangent line at the origin for the curve y = x² - x?
- x + y = 1
- x - y = 0
- x + y = 0 (correct)
- y = x
What is the x-intercept of the curve y = x² - x?
What is the x-intercept of the curve y = x² - x?
- (0, 1) and (1, 0)
- (0, 0) and (2, 0)
- (1, 0) and (2, 0)
- (0, 0) and (1, 0) (correct)
What is the y-intercept of the curve y = x² - x?
What is the y-intercept of the curve y = x² - x?
- (0, 0) only (correct)
- (0, 0) and (0, 1)
- (1, 0) and (0, 0)
- (0, 0) and (0, 2)
What is the axis of symmetry for the parabola y = 8x?
What is the axis of symmetry for the parabola y = 8x?
What is the point of local minima for the curve y = x² - x?
What is the point of local minima for the curve y = x² - x?
What is the condition for a curve to pass through the origin?
What is the condition for a curve to pass through the origin?
What do the points of intersection of the curve with the axes represent?
What do the points of intersection of the curve with the axes represent?
What is the condition for a tangent line to be parallel to the x-axis?
What is the condition for a tangent line to be parallel to the x-axis?
What is the method to find the region of the curve?
What is the method to find the region of the curve?
What is the condition for the curve to not exist in a region?
What is the condition for the curve to not exist in a region?
What can be said about the curve represented by the equation y^2 = 4ax when x is negative?
What can be said about the curve represented by the equation y^2 = 4ax when x is negative?
What is the first step in finding the region represented by a linear inequality ax + by ≤ c?
What is the first step in finding the region represented by a linear inequality ax + by ≤ c?
What is the equation of a circle with centre at the origin and radius r?
What is the equation of a circle with centre at the origin and radius r?
What is the method to find the points where a straight line meets with the coordinate axes?
What is the method to find the points where a straight line meets with the coordinate axes?
What can be said about the curve represented by the equation a^2y^2 = x^2(a - x) when x > a?
What can be said about the curve represented by the equation a^2y^2 = x^2(a - x) when x > a?
What is the region represented by the inequality 3x + 4y ≤ 12?
What is the region represented by the inequality 3x + 4y ≤ 12?
What is the equation of the tangent at the origin for the curve y = x² - x?
What is the equation of the tangent at the origin for the curve y = x² - x?
What is the vertex of the parabola y = 8x?
What is the vertex of the parabola y = 8x?
What is the x-intercept of the curve y = x² - x?
What is the x-intercept of the curve y = x² - x?
What is the focus of the parabola y = 8x?
What is the focus of the parabola y = 8x?
What is the purpose of finding the points where a straight line meets with the coordinate axes?
What is the purpose of finding the points where a straight line meets with the coordinate axes?
What is the effect of a negative value of x on the curve represented by the equation y² = 4ax?
What is the effect of a negative value of x on the curve represented by the equation y² = 4ax?
What is the next step after converting a linear inequality into equality to obtain a linear equation in x, y?
What is the next step after converting a linear inequality into equality to obtain a linear equation in x, y?
What is the equation of a circle having centre at (0,0) and radius r, in terms of x and y?
What is the equation of a circle having centre at (0,0) and radius r, in terms of x and y?
What is the region represented by a linear inequality divided into after drawing the straight line?
What is the region represented by a linear inequality divided into after drawing the straight line?
What is the condition for a curve to pass through the origin?
What is the condition for a curve to pass through the origin?
How do you find the points of intersection of a curve with the x-axis?
How do you find the points of intersection of a curve with the x-axis?
What does the point of intersection of a curve with the x-axis represent?
What does the point of intersection of a curve with the x-axis represent?
What is the condition for a tangent line to be parallel to the x-axis?
What is the condition for a tangent line to be parallel to the x-axis?
What do you do to find the region of a curve?
What do you do to find the region of a curve?
