Igcse Model Questions Vol1 2021 Mathematics Question 16

Practice objective / multiple choice question 16 from the 2021 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Medium Difficulty
Question 16 IGCSE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

A straight line passes through the points \( (2,3) \) and \( (8,k) \). The line meets the x‑axis at point A and the y‑axis at point B. The triangle OAB formed by the line and the coordinate axes, where O is the origin, has area \(24\) square units. Find the value of \(k\) and the x‑intercept of the line.

Answer Options

A. k = 18\\sqrt{2} + 24, \\; x\\text{-intercept}= 8 - 4\\sqrt{2}
B. k = -18\\sqrt{2} - 24, \\; x\\text{-intercept}= 8 + 4\\sqrt{2}
C. k = 12\\sqrt{2} - 24, \\; x\\text{-intercept}= 8 + 6\\sqrt{2}
Correct Answer D. k = 18\sqrt{2} - 24, \; x\text{-intercept}= 8 + 4\sqrt{2}
Correct Answer
D
Correct Option:
k = 18\sqrt{2} - 24, \; x\text{-intercept}= 8 + 4\sqrt{2}

About This Question

This is Igcse Model Questions Vol1 2021 Mathematics Question 16. It is one of the objective questions from the 2021 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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