Using a ruler, check whether the following points given in fig. 10.20 are collinear or not:
(i)D, A and C                               (ii) A, B and C (iii)A, B and E                               (iv) B, C and E

Using determinants, show that the following points are collinear : (i) (a+b,c),(b+c,a),(c+a,b) (ii) (5, 5),(10,7), (-5,1)

Find the equivalent resistance of the circuit given in figure between the following point : (i) A and B (ii) C and D (iii) E and F

In Figure, which of the following statements must be true? (i) a+b=d+c (ii) a+c+e=180^0 (iii) b+f=c+e (a) (i) only (b) (ii) only (c) (iii) only (d) (ii) and (iii) only

In Fig. A B C D is a regular hexagon, which vectors are: (i) Collinear (ii) Equal (iii) Coinitial (iv) Collinear but not equal

Let A={a , b ,{c , d},\ e} . Which of the following statements are false and why? (i) {a , b , e} in A (ii) {a , b , c}subA (iii) varphi in A (iv) {varphi}subA

In A B C ,\ D and E are the mid-points of A B and A C respectively. Find the ratio of the areas of A D E and A B C .

Use the given diagram to find: (i) A cup (B cap C) (ii) B-(A -C) (iii) A-B (iv) A cap B' is A cap B' = A -B ?

Use the given figure to express : (i) a in terms of b and f, (ii) e in terms of f and g, (iii) d in terms of a and e, (iv) c in terms of e and g.

Let A={a , b ,{c , d},\ e} . Which of the following statements are false and why? (i) a in A (ii) asubA (iii) {a , b , e}subA

Use graph paper for this question. Take 1 cm = 1 unit on both x and y axes. (i) Plot the following points on your graph sheets: A (-4, 0), B (-3, 2), C (0, 4), D(4, 1) and E (7, 3) (ii) Reflect the point B, C, D and E on the x-axis and name them as B', C', D' and E' respectively. (iii) Join the points A, B, C, D, E, E', D', C', B' and A in order. (iv) Name the closed figure formed.