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DSSSB PRT/TGT Coordinate Geometry Questions with Answers & Explanations

20 Coordinate Geometry questions from the Subject: Mathematics section of DSSSB PRT/TGT, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

What is the radius of the circle x² + y² − 8x − 6y − 11 = 0?

  1. A7
  2. B6
  3. C36
  4. D11
Show answer
Answer: (B) 6 Centre = (4, 3); r = √(g² + f² − c) = 6.
Question 2

What is the distance between the points (5, 1) and (13, 16)?

  1. A15
  2. B18
  3. C289
  4. D17
Show answer
Answer: (D) 17 Distance = √(8² + 15²) = 17.
Question 3

What is the distance between the points (-1, 3) and (2, 7)?

  1. A3
  2. B7
  3. C5
  4. D25
Show answer
Answer: (C) 5 Distance = √(3² + 4²) = 5.
Question 4

What is the radius of the circle x² + y² − 6x − 6y + 14 = 0?

  1. A4
  2. B2
  3. C3
  4. D14
Show answer
Answer: (B) 2 Centre = (3, 3); r = √(g² + f² − c) = 2.
Question 5

What is the distance between the points (-2, -3) and (3, 9)?

  1. A13
  2. B17
  3. C169
  4. D11
Show answer
Answer: (A) 13 Distance = √(5² + 12²) = 13.
Question 6

What is the radius of the circle x² + y² + 8x − 10y + 16 = 0?

  1. A6
  2. B5
  3. C25
  4. D7
Show answer
Answer: (B) 5 Centre = (-4, 5); r = √(g² + f² − c) = 5.
Question 7

What is the distance between the points (0, -5) and (8, 10)?

  1. A17
  2. B15
  3. C18
  4. D289
Show answer
Answer: (A) 17 Distance = √(8² + 15²) = 17.
Question 8

What is the radius of the circle x² + y² + 2x − 8y − 19 = 0?

  1. A6
  2. B7
  3. C19
  4. D8
Show answer
Answer: (A) 6 Centre = (-1, 4); r = √(g² + f² − c) = 6.
Question 9

What is the distance between the points (0, 0) and (5, 12)?

  1. A11
  2. B14
  3. C169
  4. D13
Show answer
Answer: (D) 13 Distance = √(5² + 12²) = 13.
Question 10

What is the radius of the circle x² + y² − 8x − 10y + 16 = 0?

  1. A16
  2. B7
  3. C5
  4. D6
Show answer
Answer: (C) 5 Centre = (4, 5); r = √(g² + f² − c) = 5.

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Question 11

What is the distance between the points (-4, -4) and (4, 11)?

  1. A15
  2. B17
  3. C289
  4. D18
Show answer
Answer: (B) 17 Distance = √(8² + 15²) = 17.
Question 12

What is the radius of the circle x² + y² − 2x − 6y − 39 = 0?

  1. A7
  2. B39
  3. C49
  4. D9
Show answer
Answer: (A) 7 Centre = (1, 3); r = √(g² + f² − c) = 7.
Question 13

What is the distance between the points (0, -5) and (3, -1)?

  1. A3
  2. B5
  3. C7
  4. D25
Show answer
Answer: (B) 5 Distance = √(3² + 4²) = 5.
Question 14

What is the radius of the circle x² + y² + 2x − 6y − 54 = 0?

  1. A10
  2. B9
  3. C64
  4. D8
Show answer
Answer: (D) 8 Centre = (-1, 3); r = √(g² + f² − c) = 8.
Question 15

What is the distance between the points (0, -2) and (3, 2)?

  1. A5
  2. B7
  3. C6
  4. D3
Show answer
Answer: (A) 5 Distance = √(3² + 4²) = 5.
Question 16

What is the radius of the circle x² + y² + 8x − 4y + 4 = 0?

  1. A16
  2. B5
  3. C4
  4. D6
Show answer
Answer: (C) 4 Centre = (-4, 2); r = √(g² + f² − c) = 4.
Question 17

What is the distance between the points (0, -1) and (3, 3)?

  1. A7
  2. B3
  3. C5
  4. D6
Show answer
Answer: (C) 5 Distance = √(3² + 4²) = 5.
Question 18

What is the radius of the circle x² + y² + 4x − 77 = 0?

  1. A9
  2. B10
  3. C11
  4. D77
Show answer
Answer: (A) 9 Centre = (-2, 0); r = √(g² + f² − c) = 9.
Question 19

What is the distance between the points (1, 2) and (6, 14)?

  1. A169
  2. B13
  3. C14
  4. D17
Show answer
Answer: (B) 13 Distance = √(5² + 12²) = 13.
Question 20

What is the distance between the points (4, -5) and (7, -1)?

  1. A25
  2. B3
  3. C6
  4. D5
Show answer
Answer: (D) 5 Distance = √(3² + 4²) = 5.

These are RankerClub practice questions written in the DSSSB PRT/TGT pattern. They are not official SSC/IBPS/RRB papers.

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