Final Revision Solid Geometry Quiz 1 1) If A (2a , a+3 , a+1) lies in x z plane , then A=(……. , ……. , …..) a) A ( -6 , 0 , 2)
b) A ( 1 , 2 , 0)
c) A ( 0 , 3 , 1)
d) A ( 0 , 2 , 4)
2) If A (-2, 3 , -5) then the distance from x y plane is ……….. a) 5
b) -5
c) 13
d) 34
3) If A (-2 , 3 , -5) then the distance from x-axes is ………. a) 5
b) -5
c) 13
d) 34
4) If the point (2a , a+3 , 4a) at distance 7cm from x z – plane then a = …………… a) {4 , -10}
b) {2 , -8}
c) {3 , -7}
d) {3 , -3}
5) If C ( 2 , 2 , 6) is midpoint of AB , where A ( 1 , -4 , 0) ,then B = …………. a) (3 , 3 , 12) c) (1, 6 , 6)
b) (8 , 3 , 12) d) (3 , 8 , 12)
6) If ABC intersects x , y , z axes at A , B , C , if D (3 , 4 , 0) is the midpoint of AB and E (0 , 5 , 6) is the midpoint of BC then the midpoint of AC is F (..... , ……. , …….)
a) (3 , 4 , 6) b) (1 , 3 , 2) c) (1, 1 , 2) d) (3 , 0 , 6)
7) If distance between the point (2 , b , -3) and X-axis is 5 then b=……….. a) 4
c) 4
b) 3
d) 3
8) If A (2 , 2 , 0) , B (2 , 0 , 2) , C (0 , 2 , 2) , then Area of the triangle ABC = ………. S.u a) 4 3
b)
3
c) 2 3
d) 2
9) If ABC intersects x , y , z axes at 6 , 6 , 9 then the coordinate of the centroid = ………. a) (1 , 1 , 3) b) (2 , 2 , 3) c) (1, 1 , 2) d) (3 , 3 , 3) 10) In the opp. Fig coordinate of the point C = ………. a) (3 , 5 , 8)
b) (-3 , 0 , 2)
c) (0, 3 , 2)
d) (0 , 5 , 8)
Quiz (2) 1) If the center of a sphere is (-3 , b , 5) and touches XZ plane ,YZ plane then the following are true except ……… a) (x 3)2 ( y 3)2 (z 5) 2 9 b) (x 3)2 ( y 3)2 (z 5)2 9 c) x 2 y 2 z 2 6x 6 y 10z 34 0 d) x 2 y 2 z 2 6x 6 y 10z 34 2) If the radius of the sphere is 7cm and it touches XY-plane , its center is (a+1 , a+3 , a+5) then a = ……… a) {6 , -8}
b) {4 , -10}
c) {2 , -12} d) {2 , 9}
3) the equation of a sphere whose center is the origin and passes through the point (3 , -1 , 2) is..
a) (x 3)2 ( y 1)2 (z 2)2 14 b) x 2 y 2 z 2 14 c) (x 3)2 ( y 1)2 (z 2)2 14 d) x 2 y 2 z 2 14 4) If the center of a sphere lies on +ve direction of Y- axis and passes through the point (2 , 1 , 4) and its radius is
24 cm then the equation is
a) x 2 y 2 z 2 6 y 15 0 b) x 2 y 2 z 2 4x 2 y 8z 24 0 c) x 2 y 2 z 2 2x y 4z 24 0 d) x 2 y 2 z 2 10 y 24 0 5) If the sphere (x 3) ( y 2) (z 1) 7 2
2
2
intersects XZ – plane at circle then Area = ……..
c) 6
b) 5
a) 7
d) 3
6) If (3x 6) (3 y 3) (3z 12) 27 2
2
2
then the radius =……….. a) 3 3
3
b)
c) 3
d) 9
7) If the center of a sphere lies on x- axis and passes through the points (1 , -2 , 2) (2 , 2 , 3) then the equation is ……… a) x y z 8x 1 2
2
2
b) x y z 8x 17 2
2
2
c) x y z 4x 17 2
2
2
d) x y z 4x 1 2
2
2
8) If the sphere (x 3) (y 2) (z 1) 17 2
2
2
intersects Z – axis at A ,B then AB = ……….. a) 4
b) 5
c) 6
d) 3
9) If the center of a sphere is (2 , 3 , 6) and touches XY-axis then the equation …….. a) (x 2) (y 3) (z 6) 6 2
2
2
b) (x 2) (y 3) (z 6) 36 2
2
2
c) (x 2) (y 3) (z 6) 3 2
2
2
d) (x 2) (y 3) (z 6) 9 2
2
2
10) If the sphere touches the three coordinate planes and passes through the point (1 , 2 , 0) then the following are true except……
a) (x 1) 2 (y 1)2 (z 1)2 1 b) (x 5) 2 (y 5)2 (z 5)2 25
c) x 2 y2 z 2 2x 2 y 2z 2 0
d) x 2 y2 z 2 10x 10 y 10z 10 0
Model Answer
Quiz1 1) A 2) A 3) D 4) A 5) D 6) D 7) C 8) C 9) B 10)
B
Model Answer QUIZ 2 1) D 2) C 3) B 4) A 5) D 6) B 7) A 8) A 9) B 10)
D