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Assignment 1 (2024)

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ASSIGNMENT-1

1) The image of the point (2, 3) in x and y axes respectively are


a) (2, 3), (-2, -3) b) (2, 3), (2, -3) c) (2, -3), (-2, 3) d) (-2, -3), (-2, -3)
2) The distance of (3, -7) from the x-axis is
a) 3 b) 7 c) 4 d) 2
3) The points (9 ,-9), (8, -2), (1, -3) are the vertices of
a) equilateral triangle b) isosceles triangle
c) right angled triangle d) right angled isosceles triangle
4) If ABCD is square and A ≡(0, -1), C≡ (0, 3), then the area of square is
a) 4 b) 8 c)16 d) insufficient data.
5) If the point (1, 1) is equidistant from the points (a+b, b-a) and (a-b, a+b), then
a) a+b = 0 b) a+b =1 c) a=b d) b-a=1
6) If the centroid of a triangle is (3, 1) and one of the vertices is (0, -3), then the length of the
median is
a) 5 b) 15/2 c) 15 d) 10/3
7) ABC is triangle in which A (0, 2), B (4, 0). If (4, 4) is the midpoint of AC, then the midpoint of
BC is
a) (3, 6) b) (6, 3) c) (0, 6) d) (6, 0)
8) If C (4, k) is a point on the line joining A (1, 3), B (5, 5), then the ratio in which C divides AB is
a) 3:1 b) 1:3 c) 2:3 d) 1:2
9) The distance between the points which divide the line joining points (8, -5) and (3, 5)
internally and externally in the ratio 3:2 is
a) 12√5 b) 2√5 c) √680 d) 0
10) The area of triangle formed by (2, 5) (-3, 4) and (7, -1) in square units is
a) 35 b) 35/2 c)15 d) 0
11) If the points (7, k), (-2, 3) and (-1, -5) are collinear, then k=
a) 15 b) 1/7 c) 69 d) -69
12) The distance between (a-b, a+b) and (a+b, a-b) is
a) 2√b b) 2√2b c) 3√2b d) √2b
13) If the distance between (3, 4) and (a, 2) is 2√2 , then ‘a’ is
a) 5 or 1 b) 5 or -1 c) -5 or 1 d)-5 or -1
14) The points (-2, 5), (3, -4) and (7, 10) form
a) an equilateral triangle b) a right angled triangle
c) a right angled isosceles triangle d) an isosceles triangle
15) The points (1, 1), (-1, -1) and (−√3, √3 ) are the vertices of
a) an equilateral triangle b)a scalene triangle
c) an isosceles triangle d) a right angled isosceles triangle
16) The four points (3, 2), (11, 8), (8, 12) and (0, 6) are the vertices of a
a) rectangle b) parallelogram c) square d) rhombus
17) The four points (2, -1), (3, 4), (-2, 3) and (-3, -2) are the vertices of a
a) parallelogram b) rhombus c) square d) rectangle
18) The points (2a+√3a, 5a), (2a, 4a,) and (2a, 6a) are the vertices of
a) an equilateral triangle b) right angled triangle
c) an isosceles triangle d) a right angled isosceles triangle
19) If (0, 0) and (3, √3 ) are two vertices an equilateral triangle, then the third vertex is
a) (-3, √3), b) (3, √3) c) (10, √3) d) (0, 2√3)
20) If the midpoints of the sides of a triangle are (-1, 2), (6, 1) and (3, 5), then the coordinates of
the vertices of the triangle are
a) (10, 4), (-4, 6), (2, -2) b) (10, 4), (4, -6), (2, 2) c) (10, -4), (-4, 6), (2, 2) d) (10, 4), (4, -6), (2,-
2)
21) Three vertices of a rectangle are (2, 1), (-4, -1) and (-2, -3), then the fourth vertex is
a) (4, 1) b) (-4,-1) c) (-4, 1) d) (4,-1)
22) In triangle ABC, the coordinates of B, C and the centroid G are (2, 3), (-3, 4) and (-5,-1)
respectively, then the coordinate of A are
a) (14, 10) b) (14, -10) c) (-14, 10) d) (-14, -10)
23) If P(1, 2), Q(4, 6), R(5, 7) and S(a, b) are the vertices of a parallelogram PQRS, then the
values of a and b are respectively
a) 2, 4 b) 3, 4 c) 2, 3 d) 3,5

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