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The ratio in which the line segment j...

The ratio in which the line segment joining `P(x_1,\ y_1)` and `Q(x_2,\ y_2)` is divided by x-axis is `y_1: y_2` (b) ` y_1: y_2` (c) `x_1: x_2` (d) ` x_1: x_2`

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The ratio in which the line segment joining P(x_1,\ y_1) and Q(x_2,\ y_2) is divided by x-axis is (a) y_1: y_2 (b) y_1: y_2 (c) x_1: x_2 (d) x_1: x_2

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If the intercept of a line between the coordinate axes is divided by the point (-5, 4) in the ratio 1:2 , then find the equation of the line. Thinking Process : Coordinates of the point which divides line segment joining (x_1 , y_1 ) and ( x_2, y_2) in ratio (m_1 : m_2) ((m_1 x_2 + m_2 x_1)/( m_1 + m_2) , ( m_1 y_2 + m_2 y_1)/( m_1 + m_2)) .

If the mid-point of the segment joining A(x ,\ y+1) and B(x+1,\ y+2) is C(3/2,5/2) , find x ,\ y .

Find the distance between P (x_1,y_1) and Q (x_2,y_2) when PQ is parallel to the y-axis.

Prove that the line segment joining (x_(1),y_(1),z_(1)) and (x_(2),y_(2),z_(2)) is divided by XY,YZ,ZX-plalnes respectively in the ratio -z_(1) : z_(2),-x_(1) :x_(2),-y_(1) : y_(2) .

(b)The coordinates of the point R which divides the line segment joining P(x1,y1,z1) and Q(x2,y2,z2) internally in the ratio m:n are given by…………