Picture above shows the scene of classroom of
claes 10. Today is the day of maths test for the
students. A different seating arrangement is made
for the students for the test. Three students Ravi,
Aarav and Karan are seated at the points A, B and
C respectively.

(a) Sum of x coordinates of points A, B and C is:
(i)11     (ii) 12
(iii) 7    (iv) 6 

(b) Distance between origin and point C is
(i)√15  (ii)√19
(iii)√21 (iv)26  

(c) Mid point of line joining points A and B is :
(i) (2,1)  (ii)(6,6)
(iii) (3,3) (iv) (2,5)
(d) The point which divides the line segment joining points A and C in the ratio
1:2 is:
(i)(3, 5/6)     (ii)(2,  4/3)
(iii)(1, 5/6)   (iv)(3,4/5)
(e) Coordinates of point C are
(i)(1,2)     (ii)(4,4)
(iii) (3, 3) (iv) (5, 1)

 

Dear Student
Ravi, Aarav and Karan are seated at the points A, B and C respectively.A(2,2)B(4,4)C(5,1)a) sum of x coordinates         2+4+5 = 11        option ib) Distance between origin and point Corigin O(0,0)C(5,1)Distance d = x2-x12+y2-y12d = 5-02+1-02      = 26 unitno option given.c) let the midpoint be M(a,b)a =x1+x22  =2+42 =3b =y1+y22=2+42 = 3M(3,3)option iiid)point which divides the line segment joining points A and C in the ratio 1:2 is:Since its not mentioned how it divides,  assuming that it divides internallylet the point be N(a,b)by section formula N(a,b) = m x2+n x1m+n         ,    m y2 +n x1m+n m = 1  n = 2therefore (a, b)  =     (1 ×5 )+(2× 2)1+2         ,    (1 ×1 )+(2× 2)1+2     (a,b) = 5 +43         ,        1+43a =93 =3b =53N(3,53)no option givene)C(5,1)option ivRegards

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