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Question

The variation of $w$ against $x$ is shown in the figure for selected values of parameter $y$.

The graph indicates that $w$

The correct answer is
increases nonlinearly with $x$, but decreases nonlinearly with $y$.

The given graph shows the relationship between w and x for selected values of the parameter y. Let's analyze the graph to determine the nature of these relationships.

  1. Observe the graph for w against x for different values of y. The curves are not straight lines, indicating a nonlinear relationship between w and x.
  2. Notice how the curves are steeply increasing as x increases, supporting the idea that w increases nonlinearly with x.
  3. As the parameter y increases (moving from y=25 to y=200), the curves shift downward. This suggests that w decreases with increasing y.
  4. The downward shift of curves as y increases is not linear. Thus, w decreases nonlinearly with y.

Conclusion: Based on the analysis, the graph indicates that w increases nonlinearly with x and decreases nonlinearly with y. Therefore, the correct option is:

increases nonlinearly with x, but decreases nonlinearly with y.

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Important Questions from Geometry (Notes)

  1. Which of the following is not true for a parallelogram?
  2. A 6 cm long chord of a circle is at a distance of 4 cm from the centre of the circle. Find the distance of 8 cm long chord of the same circle from the centre.
  3. The length of major axis and coordinate of vertices for the ellipse $3x^2 + 2y^2 = 6$ respectively are:
  4. If the line through (3, y) and (2, 7) is parallel to the line through (-1, 4) and (0,6), then the value of y is:
  5. The points (K, 2 – 2K), (-K +1,2K) and (-4-K, 6-2K) are collinear if:
    (A) K = $\frac{1}{2}$
    (B) K = $-\frac{1}{2}$
    (C) K = $\frac{3}{2}$
    (D) K = -1
    (E) K = 1
    Choose the correct answer from the options given below:
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