alleryFind the midpoint of A(2, −3) and B(8, 5).
- (6, 1)
- (5, 1)
- (5, 2)
- (10, 2)
Show answer and solution
Correct answer: B. (5, 1)
((2 + 8)/2, (−3 + 5)/2) = (10/2, 2/2) = (5, 1).
Maharashtra SSC (Class 10) Arithmetic Progression — practice questions — page 3
Explore 68 free Arithmetic Progression questions in Maharashtra SSC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Arithmetic Progression with Quill →Arithmetic Progression questions and exercises with answers
Showing questions 61–68 of 68.
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 →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 →
Worked practice questions
Find the point P that divides the segment joining A(1, 2) and B(7, 8) in the ratio 1 : 2.
- (3, 4)
- (2, 4)
- (4, 5)
- (5, 6)
Show answer and solution
Correct answer: A. (3, 4)
P = ((1·7 + 2·1)/3, (1·8 + 2·2)/3) = (9/3, 12/3) = (3, 4).
The midpoint of segment AB is (4, 5). If A = (2, 3), what is B?
- (6, 8)
- (6, 7)
- (3, 4)
- (8, 7)
Show answer and solution
Correct answer: B. (6, 7)
(A + B)/2 = (4, 5) ⇒ B = 2·(4, 5) − A = (8, 10) − (2, 3) = (6, 7).
How to practise
- Choose a Arithmetic Progression question and try to work out your answer.
- Open the question to check the correct answer and read its worked solution.
- Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.
Put it into practice
Continue with Arithmetic Progression practice for Maharashtra SSC (Class 10). Read explanations as you go. No signup form needed to start.
Practise Arithmetic Progression →