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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
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:
1.-7
2.9
3.7
4.2
Solution
Step 1: Slope of line through points (-1, 4) and (0, 6).
$$m = \frac{6 - 4}{0 - (-1)} = \frac{2}{1} = 2$$
Step 2: For parallelism, slope of line through (3, y) and (2, 7) must also be 2.
$$\frac{y - 7}{3 - 2} = 2$$
Step 3: Solve for y.
$$y - 7 = 2(1)$$
$$y - 7 = 2$$
$$y = 9$$
Correct Value of y: 9
Answer: Option 2
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