Find the intercepts cut off by the plane 2x - y + z = 5 on the axes ?

  1. 5/2, -5, 5
  2. 5/2, 5, 5
  3. -5/2, 5, 5
  4. None of these

Answer (Detailed Solution Below)

Option 1 : 5/2, -5, 5
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Army Havildar SAC - Quick Quiz
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Detailed Solution

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CONCEPT:

Let the plane make intercepts a, b, c on x, y and z axes, respectively.

The equation of the plane in the intercept form is given by: 

CALCULATION:

Given: Equation of plane is 2x - y + z = 5

The given equation can be re-written in the intercept form as: 

So, by comparing the equation  with  we get,

⇒ a = 5/2, b = - 5 and c = 5

So, the intercepts made by the given plane on the axes are 5/2, - 5 and 5

Hence, option A is the correct answer.

Latest Army Havildar SAC Updates

Last updated on Jul 1, 2025

-> The Indian Army has released the Exam Date for Indian Army Havildar SAC (Surveyor Automated Cartographer).

->The Exam will be held on 9th July 2025.

-> Interested candidates had applied online from 13th March to 25th April 2025.

-> Candidates within the age of 25 years having specific education qualifications are eligible to apply for the exam.

-> The candidates must go through the Indian Army Havildar SAC Eligibility Criteria to know about the required qualification in detail. 

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