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).
UP Board Class 10 Arithmetic Progression — practice questions — page 3
Explore 97 free Arithmetic Progression questions in UP Board 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 97.
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 →Complete the definition of conditional probabilityRead the answer and worked solution →True or false: conditional probabilityRead the answer and worked solution →Independent or mutually exclusive?Read the answer and worked solution →Match each rule to its nameRead the answer and worked solution →IndependenceRead the answer and worked solution →Order the steps for a Bayes' theorem questionRead the answer and worked solution →Complete the conditions for a partitionRead the answer and worked solution →True or false: independence versus exclusivityRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Tap every statement that follows from independenceRead the answer and worked solution →The multiplication ruleRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Complete the theorem of total probabilityRead the answer and worked solution →Which theorem answers which question?Read the answer and worked solution →True or false: total probability and BayesRead the answer and worked solution →Match each historical figure to their contributionRead the answer and worked solution →The Historical NoteRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →Order the reasoning: from a partition to a posteriorRead the answer and worked solution →Tap every quantity that is a probabilityRead the answer and worked solution →Spot the odd one outRead 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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