1. Chapter 7 Class 10 Coordinate Geometry
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  3. NCERT Exemplar - MCQ
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Question 1 - NCERT Exemplar - MCQ - Chapter 7 Class 10 Coordinate Geometry

Last updated at Dec. 16, 2024 by Teachoo

If the distance between the points (2, –2) and (–1, x) is 5, one of the values of x is

(A) –2  

(B) 2  

(C) –1  

(D) 1

Transcript

Question 1 If the distance between the points (2, –2) and (–1, x) is 5, one of the values of x is (A) –2 (B) 2 (C) –1 (D) 1 Given Distance between (2, −2) and (−1, x) = 5 √(( −1 −2)2+(𝑥−(−2))2) = 5 √(( −3)2+(𝑥+2)2) = 5 √(9+𝑥^2+2^2+4𝑥) = 5 √(9+𝑥^2+4+4𝑥) = 5 √(𝑥^2+4𝑥+13) = 5 Squaring both sides (√(𝑥^2+4𝑥+13))^2 = 52 x2 + 4x + 13 = 25 x2 + 4x + 13 − 25 = 0 x2 + 4x − 12 = 0 Solving by splitting the middle term x2 + 6x − 2x − 12 = 0 x(x + 6) − 2(x + 6) = 0 (x − 2) (x + 6) = 0 ∴ x = 2, −6 So, the correct answer is (B)
  1. Chapter 7 Class 10 Coordinate Geometry
  2. Serial order wise

    3. NCERT Exemplar - MCQ

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Past Year MCQ →
Chapter 7 Class 10 Coordinate Geometry
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo