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).
Tamil Nadu SSLC (Class 10) Arithmetic Progression — practice questions — page 3
Explore 68 free Arithmetic Progression questions in Tamil Nadu SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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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).
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