Question

12)
PB and area of A PAB
10
are
-19)
and
c)
x + y - 2
nd
2
ed
11. (a) If the co-ordinates of two points A and B are (3, 4) and (5,-2) respectively. Find the co-
ordinates of any point P, if PA
(1) The co-ordinates of A, B, C are (6, 3), (-3, 5) and (4, -2) respectively and P is any point on
(x, y). Show that the ratio of the area of triangles PBC and ABC is 7.
(© If D, E and F are the mid-points of sides BC, CA and AB respectively of a A ABC, then using
co-ordinate geometry, prove that Area of A ABC
4 Area of A DEF.
(d) The area of a triangle is 5. Two of its vertices are (2, 1) and (3,-2). The third vertex lie
on y = x + 3. Find the third vertex.
(C.B.S.E. 2015
(e) Four points A (6, 3), B (-3, 5), C (4, -2) and D (x, 3x) are given in such a way th
area of triangle DBC
Find x
(C.B.S.E. 20
area of triangle ABC
1
2​

Answer 1

Answer:

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