IITM BS Question 8 - Week 3 Practice

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IITM BS Question 8 - Week 3 Practice | Prasnya

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Q8Comprehension2 Marks13 Jul 2025

Passage

A satellite dish is shaped like a parabola, and its height above the ground (in meters) at a horizontal position

x

metres is given by:

f(x) = ax^2 - 12x + 10, \quad a \in \mathbb{R} \setminus \{0\}

An engineer places a ladder that follows the path of a line given by

y = 8x + 3

. At the point where

x = 1

, the slope of the satellite dish's curve is the same as the slope of the ladder. Use this information to answer the given subquestions.

Find the value of

a

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13 Jul 2025

Mathematics 1 · Week 3

Q8.Find the value of

a

.@passage

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