Distance between Parallel Lines MCQ Quiz in मराठी - Objective Question with Answer for Distance between Parallel Lines - मोफत PDF डाउनलोड करा

Last updated on Apr 4, 2025

पाईये Distance between Parallel Lines उत्तरे आणि तपशीलवार उपायांसह एकाधिक निवड प्रश्न (MCQ क्विझ). हे मोफत डाउनलोड करा Distance between Parallel Lines एमसीक्यू क्विझ पीडीएफ आणि बँकिंग, एसएससी, रेल्वे, यूपीएससी, स्टेट पीएससी यासारख्या तुमच्या आगामी परीक्षांची तयारी करा.

Latest Distance between Parallel Lines MCQ Objective Questions

Top Distance between Parallel Lines MCQ Objective Questions

Distance between Parallel Lines Question 1:

Find the distance between the parallel lines 3y + 4x - 12 = 0 and 3y + 4x - 7 = 0.

  1. 1
  2. 2
  3. 3
  4. More than one of the above
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : 1

Distance between Parallel Lines Question 1 Detailed Solution

Concept:

The distance between the parallel lines ax + by + c1 and ax + by + c2 is:

D = 

 

Calculation;

The 2 given lines are:

3y + 4x - 12 = 0

3y + 4x - 7 = 0

a = 4, b = 3, c1 = -12 and c2 = -7

∴ The distance between the lines

D = 

⇒ D = 

⇒ D = 1

Distance between Parallel Lines Question 2:

The distance between two parallel lines 5x - 12y + 2 = 0 and 5x - 12y - 3 = 0 is given by:

  1. 1/17
  2. 5/13
  3. 1/13
  4. 5/14
  5. None of these

Answer (Detailed Solution Below)

Option 2 : 5/13

Distance between Parallel Lines Question 2 Detailed Solution

Concept:

The distance between two parallel lines ax + by + c1 = 0 and ax + by + c2 = 0 is given by the formula: .

Calculation:

Using the concept above, we have a = 5, b = -12, c1 = 2 and c2 = -3.

∴ 

.

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