CO-ORDINATE GEOMETRY MCQ SET 6
1. What is the area (in square units) of the triangular region enclosed by the graphs of the equation x + y = 3 , 2x + 5y = 12 and the x-axis?
(a) 02 Sq. Units
(b) 03 Sq. Units
(c) 04 Sq. Units
(d) 06 Sq. Units
Answer: B
2. The area in (Sq. units) of the triangle formed by the graphs of 8x + 3y = 24 , 2x + 8 = y and the x-axis is?
(a) 28 Sq. Units
(b) 14 Sq. Units
(c) 15 Sq. Units
(d) 24 Sq. Units
Answer: A
3. Find the value of a for which the points : (1 , 2) , (3 , 4) and (5 , -a) are collinear .
(a) -6
(b) -4
(c) -1
(d) -2
Answer: A
4. Find the co-ordinate of the centroid of a triangle , whose vertices are (2 , -2) , (6 , -3) and (4 , 2)
(a) (4 , -7)
(b) (0 , 7)
(c) (4 , -1)
(d) (0 , -1)
Answer: C
5. Find the co-ordinate of the centroid of a triangle , whose vertices are (4 , 20) , (8 , -3) and (3 , -2)
(a) (4 , -7)
(b) (0 , 7)
(c) (4 , -1)
(d) (5 , 5)
Answer: D
6. Find the incentre of a triangle ABC whose vertices are A(0 , 0) , B(5 , 0) and C(0 , 12) .
(a) (2 , -2)
(b) (3 , -2)
(c) (3 , 2)
(d) (2 , 2)
Answer: D
7. The co-ordinates of the vertices of a right – triangle are P(3 , 4) , Q(7 , 4) and R(3 , 8) , rihgt angle being at P . The co-ordinate of the ortho centre of triangle PQR .
(a) (7 , 4)
(b) (3 ,8)
(c) (5 , 6)
(d) (3 , 4)
ย Answer: D
8. Find the ortho-centre of an equilateral PQR , whose vertices are P(2 , -3) , Q(0 , -3) and R(4 , 9) .
(a) (2 , 1)
(b) (3 , -2)
(c) (3 , 2)
(d) (1 , 2)
Answer: A
9. The co-ordinates of the vertices of a right-triangle are P(3 , 4) , Q(7 , 4) and R(3 , 8) , right-angle being at P . The co-ordinate of the circum centre of triangle PRQ .
(a) (7 , 4)
(b) (3 , 8)
(c) (5 , 6)
(d) (3 , 4)
Answer: C
10. Find the area of a quadrilateral whose vertices are A(2 , 9) , B(2 , 1) , C(6 , 4) and D(4 , 9) .
(a) 42 Sq. Units
(b) 14 Sq. Units
(c) 15 Sq. Units
(d) 21 Sq. Units
Answer: D
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