Notes
IIT Madras
Mathematics 🧮
Activity Questions 3.5

Activity Questions 3.5

Question 1

The slope of a line which passes through the vertex and the y-intercept of the quadratic equation $x^2 + 10x - 5$ is

Multiple choice options:

  • $\sqrt{1230}$
  • $-5$
  • $5$
  • $\sqrt{650}$

Solution

Question 2

Identify the point at which the slope of the equation $x^2 + 2x - 5$ is 10

Multiple choice options:

  • $(-4, -3)$
  • $(-3, -4)$
  • $(4, 19)$
  • $(4, 3)$

Solution

Question 3

Choose the correct statement with respect to the sensitivity of the following equations $10x^2$

Multiple choice options (checkboxes):

  • The equation $10x^2$ is the most sensitive.
  • The equation $0.01x^2$ is the least sensitive.
  • The equation $x^2$ is the most sensitive.
  • The equation $5x^2$ is the least sensitive.

Solution

Question 4

A football player kicks a football from the ground. The path of the football can be modeled by the function $h(x) = -\frac{1}{12}x^2 + 20$ where x is the horizontal distance, h(x) the height of the football above the ground, when both are measured in feet. Another player jumps and takes header when the slope of the function h(x) is -0.64.

Choose the correct set of options:

Multiple choice options (checkboxes):

  • The maximum height reached by the player’s head to take the header is 7.2 feet.
  • The maximum height achieved by the ball is 20 feet
  • The maximum height reached by the player’s head to take the header is 9.2 feet.
  • None of the above

Solution

All questions focus on quadratic functions, covering topics like slopes, vertices, intercepts, derivatives, and real-world applications in projectile motion.

Solution of quadratic equation using graphSlope Line & Parabola

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