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What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)? - Geometry

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प्रश्न

What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)?

विकल्प

  • Passes through the origin

  • Parallel to Y-axis

  • Parallel to X-axis

  • None of these

MCQ
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उत्तर

Parallel to X-axis

Explanation:

The y co-ordinate of all the points (−5, 5), (6, 5), (−3, 5) and (0, 5) is 5. All these points lies on the line y = 5, which is parallel to the X-axis. 

Thus, the line which includes the points (−5, 5), (6, 5), (−3, 5) and (0, 5) is parallel to the X-axis. 

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अध्याय 7: Co-ordinate Geometry - Problem Set 7 [पृष्ठ ९८]

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बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
अध्याय 7 Co-ordinate Geometry
Problem Set 7 | Q 1. (v) | पृष्ठ ९८

संबंधित प्रश्न

The coordinates of the point P are (−3, 2). Find the coordinates of the point Q which lies on the line joining P and origin such that OP = OQ.


Which point on the y-axis is equidistant from (2, 3)  and (−4, 1)?


If (−2, 3), (4, −3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates of its centroid.


Determine the ratio in which the point P (m, 6) divides the join of A(−4, 3) and B(2, 8). Also, find the value of m.


The line joining the points (2, 1) and (5, −8) is trisected at the points P and Q. If point P lies on the line 2x − y + k = 0. Find the value of k.


In what ratio does the line x - y - 2 = 0 divide the line segment joining the points A (3, 1) and B (8, 9)? 


ABCD is a rectangle whose three vertices are A(4,0), C(4,3) and D(0,3). Find the length of one its diagonal.


 If the points  A (2,3),  B (4,k ) and C (6,-3) are collinear, find the value of k.


If `P(a/2,4)`is the mid-point of the line-segment joining the points A (−6, 5) and B(−2, 3), then the value of a is


Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division.   


The points  \[A \left( x_1 , y_1 \right) , B\left( x_2 , y_2 \right) , C\left( x_3 , y_3 \right)\]   are the vertices of  ΔABC .
(i) The median from meets BC at D . Find the coordinates of the point  D.
(ii) Find the coordinates of the point on AD such that AP : PD  = 2 : 1.
(iii) Find the points of coordinates Q and on medians BE and CF respectively such thatBQ : QE = 2 : 1 and CR : RF = 2 : 1.
(iv) What are the coordinates of the centropid of the triangle ABC 

 
 

Write the coordinates of a point on X-axis which is equidistant from the points (−3, 4) and (2, 5).


Find the value of a so that the point (3, a) lies on the line represented by 2x − 3y + 5 = 0


The perimeter of the triangle formed by the points (0, 0), (0, 1) and (0, 1) is 


If the area of the triangle formed by the points (x, 2x), (−2, 6)  and (3, 1) is 5 square units , then x =


The line segment joining points (−3, −4), and (1, −2) is divided by y-axis in the ratio. 


 The ratio in which the x-axis divides the segment joining (3, 6) and (12, −3) is


If the centroid of the triangle formed by (7, x) (y, −6) and (9, 10) is at (6, 3), then (x, y) =


The point on the x-axis which is equidistant from points (−1, 0) and (5, 0) is


Statement A (Assertion): If the coordinates of the mid-points of the sides AB and AC of ∆ABC are D(3, 5) and E(–3, –3) respectively, then BC = 20 units.

Statement R (Reason): The line joining the mid-points of two sides of a triangle is parallel to the third side and equal to half of it.


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