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POLYCET (2022) Mock Test Coordinate Geometry - 1
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Question 1 of 10
1. Question
A(-9,0)andB(-1,0)are two points such thatPA:PB=3;1wherep(x,y)is a point in that plane, then
a. x+y=9
b. x square+y square=11
c. x square+y square=9
d. x square+y square+xy=0 -
Question 2 of 10
2. Question
If a vertex of a parallelogram is(2,3)and the diagonals cut at(3,-2), then the opposite vertex to (2,3)is
a. (2 , -5)
b. (-2 , -8)
c. (4 , -7)
d. (1 , -2) -
Question 3 of 10
3. Question
IfA(-1,-3),B(-1,4),C(5,-3)are the vertices of a triangle, then the orthocentre of that triangle is
a. (-1 , 0)
b. (-1 , -3)
c. (1 , -2)
d. (0 , -3) -
Question 4 of 10
4. Question
The coordinates of centroid of a triangle with verticesA(1,2),B(4,-3)andC(-2,4)are
a. (-1, -2)
b. (1, 3)
c. (1, 1)
d. (0, 3) -
Question 5 of 10
5. Question
The points(a,-a),(-a,-a)and(-a root3,a root3)forms
a. Right angled triangle
b. An equilateral triangle
c. An isosceles triangle
d. Scalene triangle -
Question 6 of 10
6. Question
The perimeter of triangle formed by the points(0,0),(1,0)and(0,1)is __ units
a. root3
b. (1+root2)
c. (2+root2)
d. root2 -
Question 7 of 10
7. Question
If the centroid of the triangle formed by the pointsP(a,b),Q(b,c)andR(c,a) is at the origin, the value of asquare/bc + bsquare/ac + csquare/ab is
a. 3
b. 0
c. 1
d. -3 -
Question 8 of 10
8. Question
If(a,b)is the midpoint of the line segment joining the points(5,7)and(3,9)and(x,y)is the midpoint of the line segment joining the points(8,6)and(0,10)then the value ofxa+ybis
a. 40
b. 20
c. 16
d. 80 -
Question 9 of 10
9. Question
The slope of the straight line x/2is
a. -2/3
b. -3/2
c. 2/3
d. 3/2 -
Question 10 of 10
10. Question
If(0,0),(5,12)and(16,12)are the vertices of a triangle, then the incentre of that triangle is
a. (7 , 9)
b. (7 , 0)
c. (1 , 3)
d. (-1 , 9)