मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Distance of point (−3, 4) from the origin is ______.

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प्रश्न

Distance of point (−3, 4) from the origin is ______.

पर्याय

  • 7

  • 1

  • 5

  • 4

MCQ
रिकाम्या जागा भरा
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उत्तर

Distance of point (−3, 4) from the origin is 5.

Explanation:

Using the formula,

Distance = `sqrt(x^2 + y^2)`

= `sqrt((-3)^2 + 4^2)`

= `sqrt(9 + 16) = sqrt25 = 5`

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2018-2019 (March) Balbharati Model Question Paper Set 3

संबंधित प्रश्‍न

Find the distance between the following pairs of points:

(2, 3), (4, 1)


Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.


Find the centre of the circle passing through (6, -6), (3, -7) and (3, 3)


Find the distance between the points:

A(9, 3) and B(15, 11)


Find the distance between the points:

A(7, –4) and B(–5, 1)


Using the distance formula, show that the given points are collinear:

(–1, –1), (2, 3) and (8, 11)


Find the value of y for which the distance between the points A (3, −1) and B (11, y) is 10 units.


Find the distance between the following pairs of point in the coordinate plane :

(7 , -7) and (2 , 5)


Find the distance between the following point :

(Sin θ - cosec θ , cos θ - cot θ) and (cos θ - cosec θ , -sin θ - cot θ)


Prove that the following set of point is collinear :

(5 , 1),(3 , 2),(1 , 3)


Prove that the points (a, b), (a + 3, b + 4), (a − 1, b + 7) and (a − 4, b + 3) are the vertices of a parallelogram. 


Find the co-ordinates of points on the x-axis which are at a distance of 17 units from the point (11, -8).


Prove that the points A (1, -3), B (-3, 0) and C (4, 1) are the vertices of an isosceles right-angled triangle. Find the area of the triangle.


Point P (2, -7) is the center of a circle with radius 13 unit, PT is perpendicular to chord AB and T = (-2, -4); calculate the length of: AT 


The points A (3, 0), B (a, -2) and C (4, -1) are the vertices of triangle ABC right angled at vertex A. Find the value of a.


The distance between points P(–1, 1) and Q(5, –7) is ______.


If the distance between point L(x, 7) and point M(1, 15) is 10, then find the value of x.


Points A(4, 3), B(6, 4), C(5, –6) and D(–3, 5) are the vertices of a parallelogram.


Find the points on the x-axis which are at a distance of `2sqrt(5)` from the point (7, – 4). How many such points are there?


Tharunya was thrilled to know that the football tournament is fixed with a monthly timeframe from 20th July to 20th August 2023 and for the first time in the FIFA Women’s World Cup’s history, two nations host in 10 venues. Her father felt that the game can be better understood if the position of players is represented as points on a coordinate plane.

  1. At an instance, the midfielders and forward formed a parallelogram. Find the position of the central midfielder (D) if the position of other players who formed the parallelogram are :- A(1, 2), B(4, 3) and C(6, 6)
  2. Check if the Goal keeper G(–3, 5), Sweeper H(3, 1) and Wing-back K(0, 3) fall on a same straight line.
    [or]
    Check if the Full-back J(5, –3) and centre-back I(–4, 6) are equidistant from forward C(0, 1) and if C is the mid-point of IJ.
  3. If Defensive midfielder A(1, 4), Attacking midfielder B(2, –3) and Striker E(a, b) lie on the same straight line and B is equidistant from A and E, find the position of E.

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