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1. Find the point of intersection of y-axis and the perpendicular bisector of ;ine segment joining (3,6) and (-3,4) 2. Determine the ratio in which (-6,a) divides the join of A(-3,-1) and B(-8,9). Also find the value of K. 3. In what ratio is the line joining A(6,5) and(4,-3) is divided by the line y=2?

1. Find the point of intersection of y-axis and the perpendicular bisector of ;ine segment joining (3,6) and (-3,4)


2. Determine the ratio in which (-6,a) divides the join of A(-3,-1) and B(-8,9). Also find the value of K.


3. In what ratio is the line joining A(6,5) and(4,-3) is divided by the line y=2?

Grade:10

1 Answers

Ravi
askIITians Faculty 69 Points
6 years ago
A(3,6) and B(-3,4)

Find the mid point of AB and also the slope of AB.

Slope of Perp bisector will be negative reciprocal of slope of AB

Using one point formula find the eqn of perp bisector.

Intersection with Y axis will have a point D(0, y’)

Put x=0 in the eqn of prep bisector to get the value of y =y’

Point of intersection D(0,y’)



2 Find the eqn of AB using 2 point formula and as the C(-6,a) lies on it, put x=-6 and y=a to get the value of a.

Now using section formula or distance formula, find the ratio in which C divides AB


3. Find the eqn of AB ;A(6,5) and B(4,-3)
Put y=2 to find the value of x coordinate, let it be x’

So point of intersection of AB and y=2 is D(x’,2).

Now use section formula or distance formula to find the ratio.

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