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In What Ratio Does Y-axis Divide the Line Segment Joining the Points (-4, 7) and (3, -7)? - Mathematics

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प्रश्न

In what ratio does y-axis divide the line segment joining the points (-4, 7) and (3, -7)?

उत्तर

Let y-axis divides the e segment pining the points ( -4,7) and (3,- 7)  in the ratio  K : 1 Then

`0= (3k-4)/(k+1) `

`⇒ 3k = 4`

`⇒ k = 4/3 `

Hence, the required ratio is 4:3

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अध्याय 16: Coordinate Geomentry - Exercises 2

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 16 Coordinate Geomentry
Exercises 2 | Q 27

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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


Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:

A(-3, 5) B(3, 1), C (0, 3), D(-1, -4)


If the poin A(0,2)  is equidistant form the points B (3, p) and  C (p ,5) find the value of p. Also, find the length of AB.


Find the coordinates of the midpoints of the line segment joining

A(3,0) and B(-5, 4)


The line segment joining A( 2,9) and B(6,3)  is a diameter of a circle with center C. Find the coordinates of C


Find the coordinates of the circumcentre of a triangle whose vertices are (–3, 1), (0, –2) and (1, 3).


Find the area of the quadrilateral ABCD, whose vertices are A(−3, −1), B (−2, −4), C(4, − 1) and D (3, 4).


Show that `square` ABCD formed by the vertices A(-4,-7), B(-1,2), C(8,5) and D(5,-4) is a rhombus.


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.   


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

 

Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1 : 5.


If P (x, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.

 

If the centroid of the triangle formed by the points (3, −5), (−7, 4), (10, −k) is at the point (k −1), then k =


Point (–3, 5) lies in the ______.


Signs of the abscissa and ordinate of a point in the second quadrant are respectively.


The points (–5, 2) and (2, –5) lie in the ______.


If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has ______.


The point whose ordinate is 4 and which lies on y-axis is ______.


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`.


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