alleryStart learning →Find the distance between (1, 2) and (4, 6).
- 3
- 5
- 4
- 7
Show answer and solution
Correct answer: B. 5
We have √[(4 − 1)² + (6 − 2)²] = √[9 + 16].
That is √[(4 − 1)² + (6 − 2)²] = √25.
So √[(4 − 1)² + (6 − 2)²] = 5.
Andhra Pradesh SSC (Class 10) Arithmetic Progression — practice questions — page 3
Explore 95 free Arithmetic Progression questions in Andhra Pradesh SSC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 61–90 of 95.
Find the distance between (1, 2) and (4, 6).Read the answer and worked solution →Find the distance of (3, 4) from the origin.Read the answer and worked solution →Find the distance between (−2, 1) and (3, 5).Read the answer and worked solution →Are the points A(1, 1), B(2, 3), C(3, 5) collinear?Read the answer and worked solution →Determine whether triangle with vertices A(0, 0), B(4, 0), C(0, 3) is right-angled.Read the answer and worked solution →Find x such that the distance from (x, 1) to (2, 3) is √8.Read the answer and worked solution →Find the midpoint of A(2, −3) and B(8, 5).Read the answer and worked solution →Find the point P that divides the segment joining A(1, 2) and B(7, 8) in the ratio 1 : 2.Read the answer and worked solution →The midpoint of segment AB is (4, 5). If A = (2, 3), what is B?Read the answer and worked solution →Find the point dividing the segment joining (4, −1) and (−2, −3) in the ratio 1 : 3.Read the answer and worked solution →The centroid of a triangle with vertices A(1, 1), B(4, 7), C(7, 1) is:Read the answer and worked solution →Point (3, k) is the midpoint of segment joining (1, 4) and (5, 6). Find k.Read the answer and worked solution →The nth term of an AP with first term a and common difference d is:Read the answer and worked solution →Sum of the first n terms of an AP is:Read the answer and worked solution →CLASS10 · Mathematics · Arithmetic ProgressionRead the answer and worked solution →An arithmetic progression is a sequence in which the difference between consecutive terms isRead the answer and worked solution →The nth term of an AP with first term a and common difference d isRead the answer and worked solution →The common difference of 3, 7, 11, 15, ... isRead the answer and worked solution →If a = 2 and d = 5, the third term of the AP isRead the answer and worked solution →The 15th term of the AP 5, 9, 13, ... isRead the answer and worked solution →Which term of 4, 9, 14, ... equals 89?Read the answer and worked solution →Sum of the first n terms of an AP equalsRead the answer and worked solution →Sum of the first 20 natural numbers 1, 2, ..., 20 isRead the answer and worked solution →If the 10th term of an AP is 31 and first term is 4, common difference isRead the answer and worked solution →First negative term of the AP 121, 117, 113, ... is theRead the answer and worked solution →Sum of first 50 terms of the AP 2, 5, 8, ... isRead the answer and worked solution →How many terms of the AP 1, 4, 7, ... sum to 287?Read the answer and worked solution →If 4th term is 11 and 9th term is 26, first term isRead the answer and worked solution →Sum of an AP with first term 7, last term 47 and 9 terms isRead the answer and worked solution →Middle term of the AP 1, 5, 9, ..., 49 isRead the answer and worked solution →
Worked practice questions
Find the distance of (3, 4) from the origin.
- 3
- 5
- 7
- 4
Show answer and solution
Correct answer: B. 5
√(3² + 4²) = √25 = 5. The 3–4–5 right triangle.
Find the distance between (−2, 1) and (3, 5).
- 5
- √29
- √21
- √41
Show answer and solution
Correct answer: D. √41
√[(3 − (−2))² + (5 − 1)²] = √[25 + 16] = √41.
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