CBSE Guess > Papers > Question Papers > Class X > 2009 > Mathematics > Mathematics

Q. 21. Show that the points (1, 1), (–1, 5), (7, 9) and (9, 5) taken in that order, are the vertices of a rectangle.

Sol. Let A(1, 1), B(– 1, 5), C(7, 9) and D(9, 5) Using Distance formula

Diagonal AC = Daigonal BD = 10
∴ Diagonals are equal …(ii)
From (i) and (ii), we get
Points A, B, C and D are the vertices of a rectangle.

Q. 22. Find the area of the triangle formed by joining the mid-points of the sides of the trianglewhose vertices are (2, 2), (4, 4) and (2, 6).

Sol. Let A(2, 2), B(4, 4), C(2, 6)
Mid-point of AB,

Mathematics 2009 Question Papers Class X
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	Set 1 (PDF)		Set 1 (PDF)		Set 1		Set 1		Set 1 (PDF)
					Set 2		Set 2
					Set 3		Set 3