GATE EC 2016 Set 3 — Question 10
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyRatios, Percentages, Powers, Exponents & LogarithmsQuantitative AptitudeGeneral Aptitude
General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
Last updated
Question
A straight line is fit to a data set . This line intercepts the abscissa at and has a slope of . What is the value of at from the fit?
Correct answer
(A) -0.030
Solution
The equation of a straight line in the plane can be expressed as , where is the slope and is the y-intercept.Given:
Substituting the intercept point :
To find the value of at , we first calculate :
Now, substitute this value into the equation:
Rounding to three decimal places, we get .Therefore, the correct option is (A).
1.Slope .
2.The line intercepts the abscissa (the axis, where ) at .
Using the point-slope form of the line equation: Substituting the intercept point :
To find the value of at , we first calculate :
Now, substitute this value into the equation:
Rounding to three decimal places, we get .Therefore, the correct option is (A).
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Quantitative Aptitude
2026 Set 1 Q1Among the following options, the antonym of the word ‘nocturnal’ is _________.2026 Set 1 Q2The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The…2026 Set 1 Q3The figure below has exactly three intersecting line segments with a rectangular portion …2026 Set 1 Q4Real numbers , , and (all greater than 1) satisfy…2026 Set 1 Q5The following observation is made about the scores obtained by 100 students in an exam: 'For each…