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Assertion (A): The point (0, 4) lies on y-axis. Reason (R): The x-coordinate of a point on y-axis is zero. - Mathematics

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प्रश्न

Assertion (A): The point (0, 4) lies on y-axis.

Reason (R): The x-coordinate of a point on y-axis is zero.

पर्याय

  • Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

  • Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

  • Assertions (A) is true but reason (R) is false.

  • Assertions (A) is false but reason (R) is true.

MCQ
विधान आणि तर्क

उत्तर

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Explanation:

A point in a plane can be found using the coordinate system by connecting two perpendicular lines. In two dimensions, points are represented as coordinates (x, y) with respect to the x-axes and y-axes. We will study the Cartesian Coordinate System in this article. Axes and quadrants make up a plane. The coordinate axes are the name of the axes. Axes and quadrants make up a plane. The coordinate axes are the name of the axes. A rectangular system's reference lines, the vertical and perpendicular axes, are used to measure distances.

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2023-2024 (March) Basic (Board Sample Paper)

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संबंधित प्रश्‍न

Find a point on the x-axis which is equidistant from the points (7, 6) and (−3, 4).


In the seating arrangement of desks in a classroom three students Rohini, Sandhya and Bina are seated at A(3, 1), B(6, 4), and C(8, 6). Do you think they are seated in a line?


Show that the following points are the vertices of a square:

A (0,-2), B(3,1), C(0,4) and D(-3,1)


Show that the points A(6,1), B(8,2), C(9,4) and D(7,3) are the vertices of a rhombus. Find its area.


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


Find the ratio in which the point (−3, k) divides the line-segment joining the points (−5, −4) and (−2, 3). Also find the value of k ?


The perpendicular distance of the P (4,3)  from y-axis is


Show that the points (−4, −1), (−2, −4) (4, 0) and (2, 3) are the vertices points of a rectangle.


If P ( 9a -2  , - b) divides the line segment joining A (3a + 1 , - 3 ) and B (8a, 5) in the ratio 3 : 1 , find the values of a and b .

 
 
 

In  \[∆\] ABC , the coordinates of vertex A are (0, - 1) and D (1,0) and E(0,10)  respectively the mid-points of the sides AB and AC . If F is the mid-points of the side BC , find the area of \[∆\] DEF.


Find the value of k, if the points A (8, 1) B(3, −4) and C(2, k) are collinear.

 

Write the perimeter of the triangle formed  by the points O (0, 0), A (a, 0) and B (0, b).

 

If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?

 

Write the condition of collinearity of points (x1, y1), (x2, y2) and (x3, y3).

 

If three points (0, 0), \[\left( 3, \sqrt{3} \right)\]  and (3, λ) form an equilateral triangle, then λ =

 

Write the X-coordinate and Y-coordinate of point P(– 5, 4)


Point (–3, 5) lies in the ______.


If the points P(1, 2), Q(0, 0) and R(x, y) are collinear, then find the relation between x and y.

Given points are P(1, 2), Q(0, 0) and R(x, y).

The given points are collinear, so the area of the triangle formed by them is `square`.

∴ `1/2 |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| = square`

`1/2 |1(square) + 0(square) + x(square)| = square`

`square + square + square` = 0

`square + square` = 0

`square = square`

Hence, the relation between x and y is `square`.


Co-ordinates of origin are ______.


The distance of the point (–1, 7) from x-axis is ______.


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