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AI Gen: Calculus - Limits and Continuity question bank (Mathematics)

Practice 45 free JEE Advanced Mathematics - AI Gen: Calculus - Limits and Continuity questions with answers and step-by-step solutions.

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Q1.

Refer to the Case Study 'Case Study: Parabolic Cable Geometry in Civil Engineering Suspension Bridges' to answer:

Determine the parameter $c$ in the parabolic equation $y = ax^2 + c$ from the vertex information.

(A)

$c = 5\text{ m}$

(B)

$c = 0\text{ m}$

(C)

$c = 25\text{ m}$

(D)

$c = 50\text{ m}$

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Q2.

Refer to the Case Study 'Case Study: Parabolic Cable Geometry in Civil Engineering Suspension Bridges' to answer:

Using the tower coordinates $(x = 50\text{ m}, y = 25\text{ m})$, determine the value of the quadratic coefficient $a$.

(A)

$a = \frac{25 - 5}{50^2} = \frac{20}{2500} = 0.008\text{ m}^{-1}$

(B)

$a = \frac{25}{2500} = 0.01\text{ m}^{-1}$

(C)

$a = \frac{5}{100} = 0.05\text{ m}^{-1}$

(D)

$a = \frac{20}{50} = 0.4\text{ m}^{-1}$

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