مراجعات الثانوية العامة 2021 فى مادة رياضيات لغات

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