26.) Find the mean of the following distribution :
Class Frequency
3-5 5
5-7 10
7-9 10
9-11 7
11-13 8
OR
Find the mode of the following data
Class Frequency
0-20 6
20-40 8
40-60 10
60-80 12
80-100 6
100-120 5
120-140 3
27. Find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial f(x) = ax2+bx+c, a≠0,c≠0. (3M)
OR
Divide the polynomial f(x)=3x2-x3-3x+5 by the polynomial g(x)=x-1-x2 and verify the division algorithm.
28. Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are given by 2y-x=8, 5y-x=14 and y-2x=1.
OR
If 4 is a zero of the cubic polynomial x3-3x2-10x+24, find its other two zeroes.
29.) In a flight of 600 km, an aircraft was slowed due to bad weather. Its average speed for the trip was reduced by 200 km/hr and time of flight increased by 30 minutes. Find the original duration of flight.
30.) Find the area of the triangle formed by the points P(-5,7), Q(-4,-5) and R (4,5).
OR
If the point C(-1,2) divides internally the line segment joining A(2,5) and B(x,y) in the ratio 3:4, find the coordinates of B.