alleryThe distance between the points $(a,b)$ and $(-a,-b)$ is:
- $\sqrt{a^2+b^2}$
- $2\sqrt{a^2+b^2}$
- $2(a+b)$
- $0$
Show answer and solution
Correct answer: B. $2\sqrt{a^2+b^2}$
√[(2a)²+(2b)²] = 2√(a²+b²).
CBSE Class 10 Arithmetic Progression — practice questions — page 2
Explore 98 free Arithmetic Progression questions in CBSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–60 of 98.
The distance between the points $(a,b)$ and $(-a,-b)$ is:Read the answer and worked solution →The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:Read the answer and worked solution →The distance of the point $(-3,4)$ from the origin is:Read the answer and worked solution →The coordinates of the origin are:Read the answer and worked solution →Which of the following is an AP?Read the answer and worked solution →Find the common difference of the AP 7, 11, 15, 19, …Read the answer and worked solution →For the AP 12, 9, 6, 3, …, what is d?Read the answer and worked solution →Is 1, 1, 1, 1, … an AP? If yes, what is d?Read the answer and worked solution →Find the 20th term of the AP 3, 8, 13, …Read the answer and worked solution →In an AP, a = 7 and d = −2. Find a₁₂.Read the answer and worked solution →The 4th term of an AP is 11 and the 10th term is 29. Find a and d.Read the answer and worked solution →How many terms are there in the AP 7, 13, 19, …, 205?Read the answer and worked solution →Is 150 a term of the AP 11, 8, 5, …?Read the answer and worked solution →Find n if the nth term of the AP −1, 3, 7, … is 95.Read the answer and worked solution →Find the sum of the first 20 terms of the AP 5, 9, 13, …Read the answer and worked solution →Sum the first 15 terms of the AP 3, 7, 11, …Read the answer and worked solution →Sum the AP 2 + 4 + 6 + … + 100.Read the answer and worked solution →How many terms of the AP 3, 6, 9, … add up to 84?Read the answer and worked solution →The sum of first n terms of an AP is Sₙ = 3n² + 5n. Find the 4th term a₄.Read the answer and worked solution →How many three-digit numbers are divisible by 7?Read the answer and worked solution →In which quadrant does the point (−4, 7) lie?Read the answer and worked solution →A point lies on the x-axis when:Read the answer and worked solution →What are the coordinates of the origin?Read the answer and worked solution →Which point lies on the y-axis?Read the answer and worked solution →Identify the quadrant of the point (5, −3).Read the answer and worked solution →Find the distance between (1, 2) and (4, 6).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 →
Worked practice questions
The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:
- (3, 5)
- (5, 9)
- (2, 3)
- (2.5, 4)
Show answer and solution
Correct answer: C. (2, 3)
((1·4+2·1)/3, (1·7+2·1)/3) = (6/3, 9/3) = (2,3).
The distance of the point $(-3,4)$ from the origin is:
- 7
- 1
- √7
- 5
Show answer and solution
Correct answer: D. 5
√[(−3)²+4²] = √25 = 5.
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