alleryStart learning →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.
DSSSB TGT Sequences — practice questions — page 2
Explore 85 free Sequences questions in DSSSB TGT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Sequences with Quill →Sequences questions and exercises with answers
Showing questions 31–60 of 85.
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 →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 →
Worked practice questions
Are the points A(1, 1), B(2, 3), C(3, 5) collinear?
- Yes
- Cannot tell
- No
- Only if rotated
Show answer and solution
Correct answer: A. Yes
AB = √(1+4) = √5. BC = √5. AC = √(4+16) = √20 = 2√5 = AB + BC.
The three are collinear.
Determine whether triangle with vertices A(0, 0), B(4, 0), C(0, 3) is right-angled.
- Yes — at A
- No, not right-angled
- Yes — at B
- Yes — at C
Show answer and solution
Correct answer: A. Yes — at A
AB = 4, AC = 3, BC = 5. Check: AB² + AC² = 16 + 9 = 25 = BC². Right angle at A.
How to practise
- Choose a Sequences 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.