Q1 Harris has to construct a foot path from his house (at point A) towards the National highway journey point B and point C. If Harris house is taken as origin then the coordinates of point B and point C will be (6, 1) and (2,7) respectively as shown in the figure. Answer the following questions based on the above information .
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1. What is the equation of line joining point B and point C ? [1]
2. What is the distance between the point A and point C ? [1]
3. What is the distance between point A and point B ? [1]
4. What is equation of the line joining point A and C. [1]
5. What will be the area of DABC ? [1]
Q.2 Sohan and Sia on the eve of Christmas played game of tossing coins. Sohan tossed a coin three times and asked Sia to guess the probability of getting.
(i) 3 heads [1]
(A) ½ (B) 1/3 (C) ¼ (D) 1/8
(ii) atmost two heads [1]
(A) 7/8 (B) 2/8 (C) 3/8 (D) 4/8
(iii) no tail [1]
(A) 1/2 (B) 1/8 (C) 1/4 (D) 1/3
(iv) Atleast 2 heads [1]
(A) 1/2 (B) 1/8 (C) 1/5 (D) 1/3
(v) exactly two tails [1]
(A) 1/8 (B) 3/8 (C) 2/8 (D) 4/3
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