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Question 1

Find equation of the perpendicular bisector of segment joining the points (2,-5) and (0,7)?

A x - 6y = 5

B x + 6y = -5

C x - 6y = -5

D x + 6y = 5

Answer: C

Explanation:

Let line perpendicularly bisects line joining A(2,-5) and B(0,7) at C, thus C is the mid point of AB.

=> Coordinates of C =

=

Now, slope of AB =

=

Let slope of line

Product of slopes of two perpendicular lines = -1

=>

=>

Equation of a line passing through point and having slope is

Equation of line

=>

=>

=>

=> Ans - (C)

Question 2

Find equation of the perpendicular to segment joining the points A(0,4) and B(-5,9) and passing through

the point P. Point P divides segment AB in the ratio 2:3.

A x - y = 8

B x - y = -8

C x + y = -8

D x + y = 8

Answer: B

Explanation:

Using section formula, the coordinates of point that divides line joining A = and B = in the ratio a : b

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